Complete Curriculum Vitae
Charles David Levermore
14 October 2012

Personal

Born: November 19, 1951, Teaneck, NJ, USA
Citizenship: USA

Current Employment

Position: Professor, Department of Mathematics, and
Institute for Physical Science and Technology, University of Maryland
Address: College Park, MD 20742, USA
E-mail: lvrmr@math.umd.edu
URL: http://www.math.umd.edu/~lvrmr

Education

Employment Record

Positions Since Ph.D.

6/82-1/88: Mathematician, A-Division, Lawrence Livermore National Laboratory
1/88-6/92: Associate Professor, Department of Mathematics, University of Arizona
7/92-6/00: Professor, Department of Mathematics, University of Arizona
7/00-now: Professor, Department of Mathematics, University of Maryland
7/00-now: Professor, Institute for Physical Science and Technology, University of Maryland
8/01-7/06: Director, Applied Mathematics and Scientific Computation Program, University of Maryland

Visiting Positions Since Ph.D.

9/86-12/86: Visiting Associate Professor, Applied Mathematics, Brown University
5/88-6/88: Visiting Professor, Mathematics, University of Paris Nord
6/88-7/88: Visiting Professor, Physics, Ecole Normale Superieure (CNRS)
5/89-6/89: Visiting Professor, Mathematics, University of Paris VII
6/89-7/89: Visiting Professor, Mathematics, University of Nancy
5/90-6/90: Visiting Professor, Mathematics, Ecole Normale Superieure
6/90-7/90: Visiting Professor, Physics, Ecole Normale Superieure
10/90-11/90: Senior Member, Mathematical Sciences Research Institute
5/91-6/91: Visiting Professor, Physics, University of Paris VI
6/91-7/91: Visiting Professor, Mathematics, University of Paris VII
6/92-7/92: Visiting Professor, Mathematics, University of Paris VII
5/93-6/93: Visiting Professor, Mathematics, University of Paris VII
6/93-7/93: Visiting Professor, Mathematics, University of Paris VI
5/94-6/94: Senior Member, Mathematical Sciences Research Institute
7/94-11/94: Visiting Scholar, Center for Nonlinear Studies, Los Alamos National Laboratory
12/94-5/95: Member, School of Mathematics, Institute for Advanced Study
6/95-7/95: Visiting Professor, Mathematics, University of Paris 7
5/96-6/96: Visiting Professor, Mathematics, University of Paris 7
6/97-7/97: Visiting Professor, Mathematics, Ecole Normale Superieure
5/98-6/98: Visiting Professor, Mathematics, University of Paris 7
5/99-6/99: Visiting Professor, Mathematics, Ecole Normale Superieure
2/00-3/00: Visiting Professor, Mathematics, University of Paris 7
4/00-6/00: Orway Visiting Professor, Mathematics, University of Minnesota
5/01-6/01: Visiting Professor, Mathematics, Ecole Normale Superieure
8/01-9/01: Visitor, Institute Henri Poincare
6/02-7/02: Visiting Professor, Mathematics, University of Toulouse
6/03-7/03: Visiting Professor, Mathematics, University of Paris 7
10/03-11/03: Visiting Professor, Kyoto University
1/07- 6/07: Visiting Professor, Mathematiics, University of California at Los Angeles
9/07-12/07: Visitor, Center for Nonlinear Studies, Los Alamos National Laboratory
6/10- 7/10: Visiting Professor, Mathematics, Ecole Polytechnique

Consulting

1/88-12/07: T-Division, Los Alamos National Laboratory
5/89-9/91: A-Division, Lawrence Livermore National Laboratory

Research Record

Honors

Invited Address, 2006 International Congress of Mathematics, Madrid Spain.
Gill Distinguished Lectures, 5-9 March 2007, UCLA
Lifetime National Associate of the National Research Council of the National Academies, November 2011.

Grants and Contracts

Personal Grants and Contracts

NSF grant DMS-8914420, Jan 89 - Jun 92, $41,198.
NSF grant DMS-9404570, Jun 94 - May 97, $61,198.
NSF grant DMS-9803753, Jun 98 - May 01, $124,500.

Grants and Contracts as Principle Investigator

AFOSR grant F49620-92-J0054, Nov 91 - Nov 94, $327,597.
NSF grant DMS-0240049, Jun 03 - Jun 06, $1,382,091 (with co-PIs Bill Goldman and Dan Rudolph).

Publications

Refereed Journal Articles

  1. The Zero Dispersion Limit for the Korteweg-deVries Equation,
    P.D. Lax and C.D. Levermore;
    Proc. Natl. Acad. Sci. 76 (1979), 3602-3606 (5 pages).

  2. A Flux-Limited Diffusion Theory,
    C.D. Levermore and G.C. Pomraning;
    Astrophysical J. 284 (1981), 321-334 (14 pages).

  3. The Small Dispersion Limit for the Korteweg-deVries Equation I,
    P.D. Lax and C.D. Levermore;
    Commun. Pure & Appl. Math. 36 (1983), 253-290 (38 pages).

  4. The Small Dispersion Limit for the Korteweg-deVries Equation II,
    P.D. Lax and C.D. Levermore;
    Commun. Pure & Appl. Math. 36 (1983), 571-593 (23 pages).

  5. The Small Dispersion Limit for the Korteweg-deVries Equation III,
    P.D. Lax and C.D. Levermore;
    Commun. Pure & Appl. Math. 36 (1983), 809-830 (22 pages).

  6. Conical Maps Between Poisson Brackets in Eulerian and Lagrangian Descriptions of Continuum Mechanics,
    D.D. Holm, B.A. Kuperschmidt and C.D. Levermore;
    Phys. Lett. A 98A (1983), 389-395 (7 pages).

  7. Relating Eddington Factors to Flux Limiters,
    C.D. Levermore;
    J. Quant. Spec. & Rad. Transfer 31 (1984), 149-160 (12 pages).

  8. Hamiltonian Differencing of Fluid Dynamics,
    D.D. Holm, B.A. Kuperschmidt and C.D. Levermore;
    Adv. Appl. Math. 6 (1985), 52-84 (33 pages).

  9. Discretization Methods for One-Dimensional Fokker-Planck Operators,
    E.W. Larsen, C.D. Levermore, G.C. Pomraning, and J.G. Sanderson;
    J. Comp. Phys. 61 (1985), 359-390 (32 pages).

  10. Weakly Nonlinear Acoustic Instabilities,
    R.C.Y. Chin, J.C. Garrison, C.D. Levermore, and J. Wong;
    Wave Motion 8 (1986), 537-559 (23 pages).

  11. Equilibrium for Radiation in a Homogeneous Plasma,
    R.E. Caflisch and C.D. Levermore;
    Phys. Fl. 29 (1986), 748-752 (5 pages).

  12. Linear Transport Theory in a Random Medium,
    C.D. Levermore, G.C. Pomraning, D.L. Sanzo, and J. Wong;
    J. Math. Phys. 27 (1986), 2526-2536 (11 pages).

  13. A Cellular Automation for Burgers' Equation,
    B.M. Boghosian and C.D. Levermore;
    Complex Systems 1 (1987), 17-30 (14 pages).
    Erratum: A Cellular Automation for Burgers' Equation,
    Complex Systems 1 (1987), 1125 (1 page).

  14. Bistability Driven by Weakly Colored Gaussian Noise: Mean First-Passage Times,
    C.R. Doering, P.S. Hagen and C.D. Levermore;
    Phys. Rev. Lett. 59 (1987), 2129-2132 (4 pages).

  15. The Hyperbolic Nature of the Zero Dispersion KdV Limit,
    C.D. Levermore;
    Commun. in P.D.E. 13 (1988), 495-514 (20 pages).

  16. Renewal Theory for Transport Processes in Binary Statistical Mixtures,
    C.D. Levermore, G.C. Pomraning and J. Wong;
    J. Math. Phys. 29 (1988), 995-1004 (10 pages).

  17. Mean Exit Times for Particles Driven by Weakly Colored Noise,
    P.S. Hagan, C.R. Doering and C.D. Levermore;
    SIAM J. Appl. Math. 49 (1989), 1480-1513 (34 pages).

  18. The Distribution of Exit Times for Weakly Colored Noise,
    P.S. Hagan, C.R. Doering and C.D. Levermore;
    J. Stat. Phys. 54 (1989), 1321-1352 (32 pages).

  19. Asymptotic Limits of a Statistical Transport Description,
    C.D. Levermore, F. Malvagi and G.C. Pomraning;
    Trans. Th. & Stat. Phys. 18 (1989), 287-311 (25 pages).

  20. Sur les limites asymptotiques de la theorie cinetique conduisant a la dynamique des fluid incompressibles,
    C. Bardos, F. Golse and D. Levermore;
    Comptes Rendus Acad. Sci. 309-I (1989), 727-732 (6 pages).

  21. Asymptotic Limits of a Statistical Transport Description,
    F. Malvagi, C.D. Levermore, and G.C. Pomraning;
    Oper. Theory Adv. Appl. 51 (1991), 200-207 (8 pages).

  22. A Knudsen Layer Theory for Lattice Gases,
    R. Cornubert, D. d'Humieres and C.D. Levermore;
    Physica D 47 (1991), 241-259 (19 pages).

  23. Fluid Dynamic Limits of Kinetic Equations I: Formal Derivations,
    C. Bardos, F. Golse and D. Levermore;
    J. Stat. Phys. 63 (1991), 323-344 (22 pages).

  24. The Discrete Ordinate Method in Diffusive Regimes,
    Shi Jin and D. Levermore;
    Trans. Th. & Stat. Phys. 20 (1991), 413-439 (27 pages).

  25. Density Variations in Weakly Compressible Fluid Flow,
    B.J. Bayly, C.D. Levermore and T. Passot;
    Phys. of Fluids A 4 (1992), 945-954 (10 pages).

  26. Multidimensional Stability of Travelling Waves in a Bistable Reaction-Diffusion Equation,
    C.D. Levermore and J.X. Xin;
    Commun. in P.D.E. 17 (1992), 1901-1924 (24 pages).

  27. Modeling Charged Particle Loss in a Fuel/Shell Mixture,
    C.D. Levermore and G.B. Zimmerman;
    J. Math. Phys. 34 (1993), 4725-4729 (5 pages).

  28. Robust Fluid Dynamical Closures of the Broadwell Model,
    C.D. Levermore and B.A. Wagner;
    Phys. Lett. A 174 (1993), 220-228 (9 pages).

  29. Fluid Dynamic Limits of Kinetic Equations II: Convergence Proofs for the Boltzmann Equation,
    C. Bardos, F. Golse and C.D. Levermore;
    Commun. Pure & Appl. Math. 46 (1993), 667-753 (87 pages).

  30. Entropic Convergence and the Linearized Limit for the Boltzmann Equation,
    C.D. Levermore;
    Commun. in P.D.E. 18 (1993), 1231-1248 (18 pages).

  31. Fully Discrete Numerical Transfer in Diffusive Regimes,
    Shi Jin and C.D. Levermore;
    Trans. Th. & Stat. Phys. 22 (1993), 739-791 (53 pages).

  32. Hyperbolic Conservation Laws with Stiff Relaxation Terms and Entropy,
    G.Q. Chen, C.D. Levermore and T.P. Liu;
    Commun. Pure & Appl. Math. 47 (1994), 787-830 (44 pages).

  33. Weak and Strong Solutions of the Complex Ginzburg-Landau Equation,
    C.R. Doering, J.D. Gibbon and C.D. Levermore;
    Physica D 71 (1994), 285-318 (34 pages).

  34. Macroscopic Lattice Dynamics,
    M.H. Hays, C.D. Levermore, and P.D. Miller;
    Physica D 79 (1994), 1-15 (15 pages).
    Erratum: Macroscopic Lattice Dynamics,
    Physica D 85 (1995), 304 (1 page).

  35. Random Walks on a Fluctuating Lattice: A Renormalization Approach Applied in One Dimension,
    C.D. Levermore, W. Nadler, and D.L. Stein;
    Phys. Rev. E 51 (1995), 2779-2786 (7 pages).

  36. Convergence of Convective-Diffusive Lattice Boltzmann Methods,
    B.H. Elton, C.D. Levermore and G.H. Rodrigue;
    SIAM J. Num. Anal. 32 (1995), 1327-1354 (28 pages).

  37. Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms,
    Shi Jin and C.D. Levermore;
    J. Comp. Phys. 126 (1996), 449-467 (19 pages).

  38. Finite Genus Solutions to the Ablowitz-Ladik Equations,
    P.D. Miller, N.M. Ercolani, I.M. Krichever, and C.D. Levermore;
    Commun. Pure & Appl. Math. 48 (1996), 1369-1440 (72 pages).

  39. Modulation of Multiphase Waves in the Presense of Resonance,
    P.D. Miller, N.M. Ercolani, and C.D. Levermore;
    Physica D 92 (1996) 1-27 (27 pages).

  40. Long-Time Effects of Bottom Topography in Shallow Water,
    R. Camassa, D.D. Holm and C.D. Levermore;
    Physica D 98 (1996), 258-286 (29 pages).

  41. Moment Closure Hierarchies for Kinetic Theories,
    C.D. Levermore, J. Stat. Phys. 83 (1996), 1021-1065 (45 pages).

  42. Global Well-Posedness for the Lake Equations,
    C.D. Levermore, M. Oliver and E.S. Titi;
    Physica D 98 (1996), 492-509 (18 pages).

  43. Global Well-Posedness for Models of Shallow Water in a Basin with a Varying Bottom,
    C.D. Levermore, M. Oliver and E.S. Titi;
    Ind. Uni. Math. J. 45 (1996), 479-510 (32 pages).

  44. Large Oscillations Arising in a Dispersive Numerical Scheme,
    C.D. Levermore and J.G. Liu;
    Physica D 99 (1996), 191-216 (26 pages).

  45. The Behavior of the Weyl Function in the Zero-Dispersion KdV Limit,
    N.M. Ercolani, C.D. Levermore, and T. Zhang;
    Commun. Math. Phys. 183 (1997), 119-143 (25 pages).

  46. Layer-Mean Quantities, Local Conservation Laws, and Vorticity,
    R. Camassa and C.D. Levermore;
    Phys. Rev. Lett. 78 (1997), 650-653 (4 pages).

  47. Distribution-Valued Initial Data for the Complex Ginzburg-Landau Equation,
    C.D. Levermore and M. Oliver;
    Comm. PDE 22 (1997), 39-48 (10 pages).

  48. Analyticity of Solutions for a Generalized Euler Equation,
    C.D. Levermore and M. Oliver, J. Diff. Eq. 133 (1997), 321-339 (19 pages).

  49. Long-Time Shallow Water Equations with a Varying Bottom,
    R. Camassa, D.D. Holm and C.D. Levermore;
    J. Fluid Mech. 349 (1997), 173-189 (17 pages).

  50. High-Field Approximations to a Boltzmann-Poison System and Boundary Conditions in a Semiconductor,
    C. Cercignani, I.M. Gamba, and C.D. Levermore;
    Appl. Math. Lett. 10 (1997), 111-117 (7 pages).

  51. Entropy-Based Moment Closures for Kinetic Equations,
    C.D. Levermore;
    Trans. Th. & Stat. Phys. 26 (1997), 591-606 (16 pages).

  52. Inertial Ranges for Turbulent Solutions of Complex Ginzburg-Landau Equations,
    C.D. Levermore and D.R. Stark;
    Phys. Lett. A 234 (1997), 269-280 (12 pages).

  53. Moment Closure Hierarchies for the Boltzmann-Poisson Equation,
    C.D. Levermore, VLSI Design 6 (1998), 97-101 (5 pages).

  54. Acoustic and Stokes Limits for the Boltzmann Equation,
    C. Bardos, F. Golse, and C.D. Levermore;
    C.R. Acad. Sci. Paris 327 (1998), 323-328 (6 pages).

  55. Moment Realizability and the Validity of the Navier-Stokes Equations for Rarefied Gas Dynamics,
    C.D. Levermore, W.J. Morokoff, and B.T. Nadiga;
    Phys. Fluids 10 (1998), 3214-3226 (13 pages).

  56. Convex Entropies and Hyperbolicity for General Euler Equations,
    A. Harten, P.D. Lax, C.D. Levermore, and W.J. Morokoff;
    SIAM Num. Anal. 35 (1998), 2117-2127 (11 pages).

  57. The Gaussian Moment Closure for Gas Dynamics,
    C.D. Levermore and W.J. Morokoff;
    SIAM J. Appl. Math 59 (1998), 72-96 (25 pages).

  58. The Semiclassical Limit of the Defocusing Nonlinear Schroedinger Hierarchy,
    Shan Jin, C.D. Levermore, and D.W. McLaughlin;
    Commun. Pure & Appl. Math. 52 (1999), 613-654 (42 pages).

  59. The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: The Discrete-Ordinate Method,
    F. Golse, Shi Jin, and C.D. Levermore;
    SIAM Num. Anal. 36 (1999), 1333-1369 (37 pages).

  60. The Acoustic Limit for the Boltzmann Equation,
    C. Bardos, F. Golse, and C.D. Levermore;
    Archive Rat. Mech. & Anal. 153 (2000), 177-204 (28 pages).

  61. The Initial Time Layer Problem and the Quasineutral Limit in the Semiconductor Drift-Diffusion Model,
    I. Gasser, C.D. Levermore, P.A. Markowich, and C. Schmeiser;
    Euro. J. Appl. Math. 12 (2001), 497-512 (16 pages).

  62. A Drift-Collision Balance for a Boltzmann--Poisson System in Bounded Domains,
    C. Cercignani, I.M. Gamba, and C.D. Levermore;
    SIAM J. Appl. Math. 61 (2001), 1932-1958 (27 pages).

  63. A Shallow Water Model with Eddy Viscosity for Basins with Varying Bottom Topography,
    C.D. Levermore and M. Sammartino;
    Nonlinearity 14 (2001), 1493-1515 (22 pages).

  64. The Stokes-Fourier Limit for the Boltzmann Equation,
    F. Golse and C.D. Levermore;
    C.R. Acad. Sci. Paris I 333 (2001), 145--150 (6 pages).

  65. Stokes-Fourier and Acoustic Limits for Boltzmann Equations: Convergence Proofs,
    F. Golse and C.D. Levermore;
    Commun. Pure & Appl. Math. 55 (2002), 336-393 (58 pages).

  66. A Domain Decomposition Analysis for a Two-Scale Linear Transport Problem,
    F. Golse, Shi Jin, and C.D. Levermore;
    Math. Modelling & Num. Anal. 37 (2003), 869-892 (24 pages).

  67. The Zero-Dispersion Limit for the Odd Flows in the Focusing Zakharov-Shabat Hierarchy,
    N.M. Ercolani, Shan Jin, and C.D. Levermore;
    International Mathematics Research Notices 2003, 2529-2564 (36 pages).

  68. Complex Ginzburg-Landau Equations as Perturbations of Nonlinear Schroedinger Equations,
    G. Cruz-Pacheco, C.D. Levermore, and B.P. Luce;
    Physica D 197 (2004), 269-285 (17 pages).

  69. Convex Duality and Entropy-Based Moment Closures: Characterizing Degenerate Densities,
    C.D. Hauck, C.D. Levermore, and A.L. Tits;
    SIAM J. Control & Optim. 47 (2008), 1977-2015 (39 pages).

  70. From the Boltzmann Equation to an Incompressible Navier-Stokes-Fourier System,
    C.D. Levermore and N. Masmoudi;
    Archive Rat. Mech & Anal. 196 (2010), 753-809 (57 pages).

  71. Compactness of the Gain Parts of the Linearized Boltzmann Operator with Weakly Cutoff Kernels,
    C.D. Levermore and W. Sun;
    Kinetic Theory and Related Models 3 (2010), 335-351 (17 pages).

  72. Remarks on the Acoustic Limit for the Boltzmann Equation,
    N. Jiang, C.D. Levermore, and N. Masmoudi;
    Commun. Partial Diff. Equations 35 (2010), 1590-1609 (20 pages).

  73. Diffusive Corrections to PN Approximations,
    M. Schaffer, M. Frank, and C.D. Levermore;
    Multiscale Modeling and Simulation 9 (2011), 1-28 (28 pages).

  74. Weakly Nonlinear-Dissipative Approximations of Hyperbolic-Parabolic Systems with Entropy,
    N. Jiang and C.D. Levermore;
    Archive for Rational Mechanics and Analysis 201 (2011), 377-412 (36 pages).

  75. Local Well-Posedness of a Dispersive System Beyond Navier-Stokes,
    C.D. Levermore and W. Sun;
    Indiana University Mathematics Journal 60 (2011), 517-576 (60 pages).

  76. Low Mach Number Limit of a Dispersive Navier-Stokes System,
    C.D. Levermore, W. Sun, and K. Trivisa;
    SIAM J. Mathematical Analysis 44 (2012), 1760-1807 (48 pages).

Refereed Volumes

  1. Numerical Solutions of Partial Differential Equations on Irregular Grids,
    C.D. Levermore, T.A. Manteuffel and A.B. White, Jr.;
    in Computational Techniques and Applications: CTAC-87, Sydney, 1987, 417-426 (10 pages),
    North-Holland, Amsterdam/New York, 1987.

    Macroscopic Limits of Kinetic Equations,
    C. Bardos, F. Golse, and D. Levermore;
    in Multidimensional Hyperbolic Problems and Computations,
    J. Glimm and A.J. Majda, eds.;
    IMA Volumes in Mathematics and Its Applications 29, 1-12 (12 pages),
    Springer-Verlag, New York, 1991.

  2. Oscillations Arising in Numerical Experiments,
    C.D. Levermore and J.G. Liu;
    in Singular Limits of Dispersive Waves,
    N.M. Ercolani, I.R. Gabitov, C.D. Levermore, and D. Serre, eds.;
    NATO ASI Series, Physics B320, 329-346 (18 pages),
    Plenum, New York, 1994.

  3. The Behavior of Solutions of the NLS Equation in the Semiclassical Limit,
    Shan Jin, C.D. Levermore and D.W. McLaughlin;
    in Singular Limits of Dispersive Waves,
    N.M. Ercolani, I.R. Gabitov, C.D. Levermore, and D. Serre, eds.;
    NATO ASI Series, Physics B320, 235-255 (21 pages),
    Plenum, New York, 1994.

  4. A Note on the Energy-Transport Limit of the Semiconductor Boltzmann Equation,
    P. Degond, C.D. Levermore, and C. Schmeiser;
    in Transport in Transition Regimes
    N. Ben Abdallah etal eds.;
    IMA Volumes in Mathematics and Its Applications 135, 137-153 (17 pages),
    Springer, New York, 2004.

  5. Scale-Induced Closure for Approximations of Kinetic Equations,
    M. Torrilhon, P. Kauf, C.D. Levermore, and M. Junk;
    in Proceedings of the 26th International Symposium on Rarefied Gas Dynanics,
    Takashi Abe ed.;
    AIP Conference Proceedings 1084, 123-128 (6 pages),
    American Institute of Physics, Melville, New York, 2009.

Invited Review Papers

  1. Generation of Oscillations in Dispersive IVPs, and their Limiting Behavior},
    P.D. Lax, C.D. Levermore and S. Venakides;
    in Important Developments in Soliton Theory,
    T. Fokas and V.E. Zakharov eds.;
    Springer Series in Nonlinear Dynamics, 205-241 (36 pages),
    Springer-Verlag, Berlin, 1993.

  2. The Complex Ginzburg-Landau Equation as a Model Problem,
    C.D. Levermore and M. Oliver;
    in Probabilistic and Dynamical Systems Methods for PDEs,
    P. Dieft, C.E. Wayne, and C.D. Levermore, eds.;
    Lect. in Appl. Math. 31, 141-190 (50 pages),
    American Mathematical Society, Providence, 1996.

  3. The KdV Zero-Dispersion Limit and Densities of Dirichlet Spectra,
    C.D. Levermore,
    in Recent Advances in Partial Differential Equations, Venice 1996,
    R. Spigler and S. Venakides, eds.;
    Proc. of Symp. in Appl. Math. 54, 187-210 (24 pages),
    American Mathematical Society, Providence, 1998.

  4. La methode de l'entropie relative pour les limites hydrodynamiques de modeles cinetiques,
    F. Golse, C.D. Levermore, and L. Saint-Raymond;
    in Seminaire Equations aux Derivees Partielles 1999-2000
    Centre de Mathematiques Laurent Schwartz,
    Ecole Polytechnique, Palaiseau, 2000. (21 pages)

  5. Hydrodynamic Limits of Kinetic Models,
    F. Golse and C.D. Levermore;
    in Topics in Kinetic Theory
    T. Passot etal eds.;
    Fields Institute Communications 46, 1-75 (75 pages),
    American Mathematical Society, Providence, 2005.

  6. Fluid Dynamics from Boltzmann Equations,
    C.D. Levermore;
    in Recent Advances in Nonlinear Partial Differential Equations and Applications, Toledo 2006
    L.L. Bonilla etal eds.;
    Proc. of Symp. in Appl. Math. 65, 151-170 (20 pages),
    American Mathematical Society, Providence, 2007.

Books Edited

  1. Singular Limits of Dispersive Waves,
    N.M. Ercolani, I.R. Gabitov, C.D. Levermore, and D. Serre, eds.;
    NATO ASI Series, Physics B320,
    Plenum, New York, 1994.

  2. Dynamical Systems and Probabilistic Methods in Partial Differential Equations,
    P. Dieft, C.D. Levermore, and C.E. Wayne, eds.;
    Lect. in Appl. Math. 31,
    American Mathematical Society, Philadelphia, 1996.

  3. Advances in Nonlinear Mathematics and Science,
    N.M. Ercolani, E. Kuznetsov, and C.D. Levermore, eds.;
    Elsevier, Amsterdam, 2001.

  4. Transport in Transition Regimes,
    N. Ben Abdallah, A. Arnold, P. Degond, I.M. Gamba,
    R. Glassey, C.D. Levermore, and C. Ringhofer, eds.;
    IMA Volumes in Mathematics and Its Applications 135,
    Springer, New York, 2004.

  5. Dispersive Transport Equations and Multiscale Models,
    N. Ben Abdallah, A. Arnold, P. Degond, I.M. Gamba,
    R. Glassey, C.D. Levermore, and C. Ringhofer, eds.;
    IMA Volumes in Mathematics and Its Applications 136,
    Springer, New York, 2004.

Presentations

Invited Lectures at Meetings

  1. Deterministic Cellular Automata with Diffusive Behavior
    a lecture at the International Workshop of Discrete Kinetic Theory, Lattice Gas Dynamics and Foundations of Hydrodynamics,
    ?? September 1988 in Turin, Italy.

  2. Deterministic Cellular Automata with Diffusive Behavior
    a lecture at the Winter School at Les Houches,
    24 February 1989 in Les Houches, France.

  3. An Introduction to Kinetic Theory,
    a series of four lectures at Kinetic Models , an INRIA Workshop,
    12-15 June 1989, Paris, France.

  4. Kinetic Theory Revisited,
    a one hour lecture at Nonlinearity in the Next Decade, the 10th Annual CNLS Meeting,
    22 May 1990 at Los Alamos, New Mexico.

  5. Lattice Gas Hydrodynamics,
    a lecture at the 2nd World Congress on Computational Mechanics,
    31 August 1990 in Stuttgart, Germany.

  6. Fluid Dynamical Limits of Kinetic Theory
    a lecture at the MSRI Workshop on Partial Differential Equations,
    10 October 1990 in Berkeley, California.

  7. Global Solutions of the Complex Ginzberg-Landau Equation,
    a one hour lecture at the Midwest PDE Meeting,
    10 November 1990 in Chicago, Illinois.

  8. Lattice Gas Cellular Automata and Finite Difference Methods: Two Sides of the Same Coin,
    a Plenary Lecture at the SIAM Meeting on Parallel Processing,
    25 March 1991 in Houston, Texas.

  9. The Convergence of Some Lattice Boltzmann Methods,
    a one hour lecture at the NATO Workshop on Lattice Gas Automata,
    26 June 1991 in Nice, France.

  10. The Semiclassical Limit of Nonlinear Schroedinger Equations,
    a one hour lecture at the NATO Workshop on Singular Limits of Dispersive Waves,
    9 July 1991 in Lyon, France.

  11. The Semiclassical Limit of Nonlinear Schroedinger Equations,
    a one hour lecture at the Potsdam-Kiev International Meeting,
    7 August 1991 in Potsdam, New York.

  12. The Semiclassical Limit of Nonlinear Schroedinger Equations,
    a one hour lecture at the ENS Mathematics/Physics Workshop,
    23 May 1992 in Paris, France.

  13. Robust Fluid Dynamical Closures of the Broadwell Model,
    a 30 minute minisymposium lecture at the SIAM 40th Anniversary Meeting,
    20 July 1992 in Los Angeles, California.

  14. Entropic Convergence and the Linearized Limit for the Boltzmann Equation,
    a 30 minute special session lecture at the AMS Regional Meeting,
    7 November in Los Angeles, California.

  15. Robust Moment Closure Hierarchies for Kinetic Equations,
    a one hour lecture at the ENS Mathematics/Physics Workshop,
    26 June 1993 in Paris, France.

  16. Robust Moment Closure Hierarchies for Kinetic Equations,
    a one hour lecture at the Congreso Nacional, Sociedad Matematica Mexicana,
    14 October 1993 in Morelia, Mexico.

  17. Robust Moment Closure Hierarchites for Kinetic Equations,
    a Sackler Lecture at the Tel Aviv University
    11 January 1994 in Tel Aviv, Israel.

  18. Robust Moment Closure Hierarchies for Kinetic Equations,
    a one hour lecture at the GdR Sparch Workshop,
    14 January 1994 in Cachan, France.

  19. Robust Moment Closure Hierarchies for Kinetic Equations,
    a lecture at the French/German Workshop on Kinetic Theory,
    ?? June 1995 in Kaiserslautern, Germany.

  20. Robust Moment Closure Hierarchies for Kinetic Equations,
    a 30 minute special session lecture at the International Congress of Industrial and Applied Mathematics (ICIAM),
    ?? July 1995 in Hamburg, Germany.

  21. Robust Moment Closure Hierarchies for Kinetic Equations,
    a lecture at the NATO Summer School on Hyperbolic Problems,
    ?? August 1995 in Crete, Greece.

  22. Robust Moment Closure Hierarchies for Kinetic Equations,
    a lecture at the INRIA-CEA/CESTA Meeting on High Speed Flows,
    14 May 1996 in Gujan-Mestras, France.

  23. Robust Moment Closure Hierarchies for Kinetic Equations,
    a lecture at the Sixth International Conference on Hyperbolic Problems,
    16 June 1996 in Hong Kong, China.

  24. Moment Realizability and Moment Closures
    Workshop on Kinetic Theory,
    17 May 1996 in Bordeaux, France.

  25. The Zero-Dispersion Limit of the KdV Equation and the Weyl Function,
    a one hour lecture at Recent Advances in Partial Differential Equations and Applications,
    11 June 1996 in Venice, Italy.

  26. Global Well-Posedness for Models of Shallow Water in a Basin with a Varying Bottom,
    a one hour lecture at the International Workshop on Nonlinear Analysis,
    22 June 1996 in Chi-Tou, Taiwan.

  27. Complex Ginzburg-Landau Equations as Perturbations of Nonlinear Schroedinger Equations,
    a one hour lecture at the US-Chinese Conference on Recent Developments in Differential Equations and Applications,
    27 June 1996 in Hangzhou, China.

  28. The Swift-Hohenberg Approximation to the Maxwell-Bloch System,
    a 30 minute special session lecture at the Congreso Nacional, Sociedad Matematica Mexicana
    8 October 1996 in San Luis Potosi, Mexico.

  29. Global Well-Posedness for Models of Shallow Water in a Basin with a Varying Bottom,
    a 30 minute special session lecture at the AMS Sectional Meeting,
    19 April 1997 in Corvallis, Oregon.

  30. Complex Ginzburg-Landau Equations as Perturbations of Nonlinear Schroedinger Equations,
    a Plenary Lecture at the SIAM Dynamical Systems Meeting,
    22 May 1997 in Snowbird, Utah.

  31. Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms,
    a 30 minute minisymposium lecture at the SIAM Annual Meeting,
    7 July 1997 in Stanford, California.

  32. Complex Ginzburg-Landau Equations as Perturbations of Nonlinear Schroedinger Equations,
    a 30 minute special session lecture at the AMS/SMM Joint Meeting,
    4 December 1997 in Oxaxaca, Mexico.

  33. Incompressible Fluid Dymanical Limits of the Boltzmann Equation with Viscosity,
    a 30 minute lecture at an EU Conference,
    28 May 1998 in Nice, France.

  34. The Structure of Kinetic Theory
    a series of six lectures at the CIME Summer School,
    16-24 July 1998 in Cetero, Italy.

  35. Acoustic and Stokes Limits for the Boltzmann Equation,
    a one hour invited lecture at the Fields Institute Meeting,
    9 October 1998 in Toronto, Canada.

  36. What Can Statistical Physics Learn from Complex Systems?,
    a 45 minute lecture at the New England Complex Systems Institute Workshop,
    24 October 1998 at MIT in Cambridge, Massachusetts.

  37. The Zero Dispersion Limit of the mKdV Hierarchy for the Nonselfadjoint ZS Operator,
    a 30 minute special session lecture at the AMS regional meeting,
    7-9 April 2000 at Notre Dame Universty in South Bend, Indiana.

  38. New Expansions and Moment Closures for Linear Kinetic Equations,
    a 30 minute minisymposium lecture at the SIAM Annual Meeting,
    10-14 July 2000 at the Westin Rio Mar, Rio Grande, Puerto Rico.

  39. From Kinetic Theory to Fluid Dynamics,
    a series of six two-hour lectures at the Academia Sinica Morningside Center,
    28 July -- 9 August 2000 in Beijing, China.

  40. Fluid Dynamical Limits for the Boltzmann Equation,
    a one hour lecture at Fluid Dynamics: Theory, Computation, and Application,
    Michigan Interdisciplinary Mathematics Meeting III
    22-24 September 2000 at University of Michigan, Ann Arbor, Michigan.

  41. Fluid Dynamical Limits for the Boltzmann Equation,
    a 45 minute lecture at Applied Mathematics Days,
    20-21 October 2000 at RPI in Rensselaer, New York.

  42. The Zero Dispersion Limit of the mKdV Hierarchy for the Nonselfadjoint ZS Operator,
    a 45 minute lecture at the workshop on Whitham Equations and Their Applications in Mathematics and Physics,
    27 November - 3 December 2000 at the International School for Advanced Studies (SISSA) in Trieste, Italy.

  43. Beyond the Navier-Stokes Equations,
    a 45 minute lecture at international workshop on Wave Propagations,
    7-10 June 2004 at Tsinghua University in Beijing, China.

  44. Fluid Dynamical Limits for the Boltzmann Equation,
    a 45 minute lecture at the conference on Frontiers of Applied Mathematics,
    14-17 June 2004 at the Academia Sinica Morningside Center in Beijing, China.

  45. Transition Regime Models for Linear Transport Equations,
    a 55 minute lecture at the IPAM/LLNL Workshop on Computational Methods in Transport,
    11-16 September 2004 at Granlibakken Conference Center in Tahoe City, California.

Invited Lectures at Universities

  1. Global Well-Posedness for Models of Shallow Water in a Basin with a Varying Bottom,
    a one hour PDE seminar at the University of Utah,
    20 February 1998 in Salt Lake City, Utah.

  2. Global Well-Posedness for Models of Shallow Water in a Basin with a Varying Bottom,
    a one hour PDE seminar at Brigham Young University,
    23 February 1998 in Provo, Utah.

  3. An Introduction to the Zero-Dispersion Limit for the Korteweg-de Vries Equation,
    a one hour Mathematics Colloquium at Ohio State University,
    24 April 1998 in Columbus, Ohio.

  4. An Introduction to the Zero-Dispersion Limit for the Korteweg-de Vries Equation,
    a one hour Colloquium at Princeton University,
    27 April 1998 in Princeton, New Jersey.

  5. An Introduction to the Zero-Dispersion Limit for the Korteweg-de Vries Equation,
    a one hour seminar at the University of Maryland,
    28 April 1998 in College Park, Maryland.

  6. Acoustic and Stokes Limits for the Boltzmann Equation,
    a one hour seminar at the University of Catania,
    22 June 1998 in Catania, Italy.

  7. Acoustic and Stokes Limits for the Boltzmann Equation,
    a one hour seminar at the University of Palermo,
    24 June 1998 in Palermo, Italy.

  8. Acoustic and Stokes Limits for the Boltzmann Equation,
    a one hour seminar at the University of Bordeaux,
    3 July 1998 in Bordeaux, France.

  9. Acoustic and Stokes Limits for the Boltzmann Equation,
    a one hour seminar at the Center for Nonlinear Studies,
    10 August 1998 in Los Alamos, New Mexico.

  10. Moment Closure Hierarchies for Kinetic Equations,
    a one hour seminar at Purdue University,
    18 December 1998 in West Lafayette, Indiana.

  11. New Expansions and Moment Closures for Linear Kinetic Equations,
    a one hour PDE seminar at the University of Bordeaux,
    10 February 2000 in Bordeaux, France.

  12. Stokes and Acoustic Limits for the Boltzmann Equation,
    a one hour Mathematics Colloquium at the University of Wisconsin,
    14 April 2000 in Madison, Wisconsin.

  13. Stokes and Acoustic Limits for the Boltzmann Equation,
    a one hour PDE seminar at the University of Minnesota,
    3 May 2000 in Minneapolis, Minnesota.

  14. Stokes and Acoustic Limits for the Boltzmann Equation,
    a one hour seminar at Beijing University,
    8 August 2000 in Beijing, China.

  15. Fluid Dynamical Limits for the Boltzmann Equation,
    a one hour Mathematics Colloquium at the University of Maryland,
    8 September 2000 in College Park, Maryland.

  16. Stokes and Acoustic Limits for the Boltzmann Equation,
    a one hour Mathematics Colloquium at the University of Pennsylvania,
    4 October 2000 in Philadelphia, Pennsylvania.

  17. Stokes and Acoustic Limits for the Boltzmann Equation,
    a Nonlinear PDE Seminar at the University of Chicago,
    11 October 2000 in Chicago, Illinois.

  18. Fluid Dynamical Limits for the Boltzmann Equation,
    a one hour Mathematics Colloquium at the Courant Institute, New York University,
    26 February 2001 in New York, New York.

  19. Fluid Dynamical Limits from Boltzmann Equations,
    a PDE Seminar at Princeton University,
    13 October 2005 in Princeton, New Jersey.

  20. Fluid Dynamical Limits from Boltzmann Equations,
    a PDE Seminar at the University of Michigan,
    1 February 2006 in Ann Arbor, Michigan.

  21. Fluid Dynamical Limits from Boltzmann Equations,
    a Colloquium at the University of Arizona,
    24 February 2006 in Tucson, Arizona.

  22. Fluid Dynamical Limits from Boltzmann Equations,
    a PDE Seminar at the Ohio State University,
    9 March 2006 in Columbus, Ohio.

Contributed Talks

  1. An Introduction to Kinetic Theory,
    a series of four one-hour lectures at the IMA, University of Minnesota,
    3-12 April 2000 in Minneapolis, Minnesota.

  2. Equilibrium and Nonequilibrium Diffusion Limits for a Simple Relaxation Kinetic Semiconductor Model,
    a one-hour lecture at the IMA, University of Minnesota,
    10 May 2000 in Minneapolis, Minnesota.

  3. Transition Regimes for Linear Kinetic Equations,
    a 30 minute lecture at the IMA, University of Minnesota,
    9 June 2000 in Minneapolis, Minnesota.

Service Record

Professional Service

National Research Council

2004-2012: Board of Mathematical Sciences and Applications (BMSA),
Chair of the BMSA from July 2006 to June 2012.
NRC publications that the BMSA helped initiate during this period include:

National Science Foundation

Chair, Mathematics Institutes Directors Meeting, 2007-2012
Chair of 2010 Committee of Visitors, Division of Mathematical Sciences
Nine Proposal Review Panels, 2001-2012.

Department of Energy

Workshop on Mathematical Challenges for Multiscale Simulation 3-5 May 2004 Workshop on Mathematics for the Anaysis, Simulation, and Optimization of Complex System 13-14 September 2011
Two Proposal Review Panels for Office of Sience, 2001-2012

Professional Societies

Editorial Boards

Organization of Professional Meetings

  1. Organizing Committee, DOE International Conference,
    The Physics of Chaos and Systems Far from Equilibrium,
    11-14 January 1987 in Monterey, California,
    (with Alfred Buckingham, Minh Duong-Van (co-chair), Mike Feit, Roger Minich, and Basil Nichols (co-chair)).

  2. Organizing Committee, DOE International Workshop,
    The Physics of Compressible Turbulent Mixing,
    24-27 October 1988 in Princeton, New Jersey,
    (with Alfred Buckingham, Bill Dannevik, Chuck Leith, Steven Orszag, Raold Sagdeev, and David Youngs).

  3. Organizing Committee, NATO Advanced Research Workshop,
    Lattice Gas Methods in PDE's: Theory, Application, and Hardware,
    6-9 September 1989, Los Alamos, New Mexico,
    (with Gary Doolen (chair) and Uriel Frisch).

  4. Organizing Committee, NATO Advanced Research Workshop,
    Singular Limits of Dispersive Waves,
    8--12 July 1991, Lyon, France,
    (with Nick Ercolani, Ildar Gabitov, and Denis Serre).

  5. Minisymposium Organizer for SIAM Annual Meeting,
    The Reemergence of Kinetic Theory in Applications,
    20-24 July 1992, Los Angeles, California.

  6. Organizing Committee, Mathematical Sciences Research Institute (MSRI) Special Session,
    Probabilistic and Dynamical Systems Methods for PDEs,
    January-July 1994 in Berkeley, California,
    (with Percy Deift, Philip Holmes, David McLaughlin (chair), and Eugene Wayne).

  7. Chair, Organizing Committee, MSRI Workshop,
    Mesoscopic Modeling of Nonequilibrium Systems,
    23-27 May 1994, Berkeley, California,
    (with Charles Doering).

  8. Organizing Committee, AMS/SIAM Summer Seminar,
    Dynamical Systems and Probabilistic Methods for Nonlinear Waves,
    20 June-1 July 1994 at MSRI in Berkeley, California,
    (with Percy Deift, David McLaughlin (chair), and Eugene Wayne).

  9. Organizing Committee, Institute for Advanced Study (IAS) Special Session,
    Kinetic Theory in Applications, January-April 1995 in Princeton, New Jersey,
    (with Claude Bardos and Tom Spencer (chair))

  10. Organizing Committee, IAS Workshop,
    Applied Kinetic Theory, 27-31 March 1995 in Princeton, New Jersey,
    (with Tom Spencer-chair and Claude Bardos)

  11. Chair, Organizing Committee, SIAM Annual Meeting,
    New Tools of Applied Mathematics, 25-29 July 1996 in Kansas City, Missouri,

  12. Organizing Committee, NATO Advanced Study Institute,
    PDE's in Models of Superfluidity, Superconductivity, and Reactive Flows,
    21 June - 3 July 1999 in Cargese, France,
    (with Henri Berestycki (chair), John Chapman, and Yves Pomeau).

  13. Organizing Committee, International Conference,
    Integrating Integrability into Mathematics and Science, 29-31 October 1999 in Tucson, Arizona,
    (with Nick Ercolani and Evgenii Kuznetsov).

  14. Joint Program Committee, AMS-MAA-SIAM-ASL-AWM-NAM Joint Mathematics Meetings,
    (The first ever joint meeting of all these societies.), 19-22 January 2000 in Washington, DC,
    (with Dan Freed-chair, Jerry Alexanderson, Jennifer Chayes, Barbara Keyfitz, and Robert Osserman).

  15. Organizing Committee, Institute for Mathematics and its Applications (IMA) Annual Program,
    Reactive Flow and Transport Phenomena,
    September 1999 - June 2000 in Minneapolis, Minnesota
    (with Ash Kapila-chair, John Chadam, and Christian Ringhofer).

  16. Organizing Committee, Spring term of the IMA 1999-2000 Program,
    Multiscale and Transition Regimes,
    April - June 2000 in Minneapolis, Minnesota,
    (with Irena Gamba, Len Borucki, and Christian Ringhofer).

  17. Chair, Organizing Committee, IMA Workshop,
    Dispersive Corrections to Transport Equations,
    IMA Workshop, 1-5 May 2000 in Minneapolis, Minnesota,
    (with Anton Arnold, Naoufel Ben Abdallah, and Ken McLaughlin).

  18. Scientific Committee, International School for Advanced Studies (SISSA) Workshop,
    Whitham Equations and Their Applications in Mathematics and Physics,
    27 November - 3 December 2000 at SISSA in Trieste, Italy,
    (with Boris Dubrovin (chair) and A. Gurevich).

  19. Program Committee, First SIAM-EMS Conference
    University of Berlin, Berlin, Germany, 3-6 September 2001,
    (with Vincenzo Capasso, Peter Deuflhard (chair), Heinz Engl, Bjorn Engquist, Volker Mehrmann, Bill Morton, and Stefan Mueller).

  20. Organizing Committee, Fields Institute Short Course and Workshop,
    Kinetic Theory, April 2004 in Toranto, Ontario, Canada
    (with Thierry Passot, Catherine Sulem, and Pierre-Louis Sulem).

  21. Organizing Committee, NSF-DMS Workshop,
    Dialog 2004, May 2004 in Washington, DC
    (with three others).

  22. Program Committee, Federal Reserve Bank of New York and National Academy of Sciences Conference,
    New Directions for Understanding Systemic Risk, 18-19 May 2006 in New York, NY
    (with Christine Cummings, Darryll Hendricks, John Kambhu, Charles Lucas, Patricia Mosser, Charles Taylor, and Scott Weidman).

  23. Organizing Committee, IPAM Long Program,
    Quantum and Kinetic Transport: Analysis, Computation, and New Applications, 9 March - 12 June 2009 at IPAM.
    (with Eric Carlen, Pierre Degond, Irene Gamba (co-chair), Frank Graziani, Shi Jin (co-chair), Karl Kempf, Peter Markowich, Stanley Osher, Christian Ringhofer, and Marshall Slemrod)

  24. Organizing Committee, IPAM Workshop,
    The Boltzmann Equation: DiPerna-Lions Plus Twenty Years, 15 April - 17 April 2009 at IPAM.
    (with Irene Gamba (chair), Reinhard Illner, Laure Saint-Raymond, and Marshall Slemrod)

  25. Program Committee, National Academy of Sciences Workshop,
    Technical Capabilities Necessary of Systemic Risk Regulation, 3 November 2009 in Washington, DC
    (with Tanya Beder, Ricardo Caballero, Brenda Dietrich, Kenneth Judd, Charles Lucas, Donald Saari, J.B. Silvers, George Sugihara, and Scott Weidman)

  26. Organizing Committee, IPAM Long Program,
    Computational Methods in High Energy Density Plasmas, 12 March - 15 June 2012 at IPAM.
    (with Christina Back, Andrew Christlieb, Jill Dahlburg, Michael Desjarlais, Frank Graziani (chair), Leslie Greengard, Warren Mori, and Michael Murillo)

  27. Organizing Committee, IPAM Workshop,
    Computational Challenges in Hot Dense Plasmas, 26-30 March 2012 at IPAM.
    (with Christina Back, John Castor, Frank Graziani (chair), Denise Hinkel, Vyacheslav Lukin, and Igor Sokolov)

  28. Co-Chair, Organizing Committee, IPAM Workshop,
    Computational Challenges in Hot Dense Plasmas, 7-11 May 2012 at IPAM.
    (with Andrea Bertozzi, Andrew Christlieb, Phil Colella, William Dorland, Leslie Greengard (co-chair), Warren Mori, and James Rossmanith)

Review and Advisory Committees

  1. External Advisory Panel to the VIGRE Program,
    Rensselaer Polytechnic Institute, 20 October 2000,
    (with Avner Friedman, Linda Petzold, and Margaret Wright).

  2. External Advisory Committee to the Center for Nonlinear Studies,
    Los Alamos National Laboratory, 29-30 January 2001,
    (with David K. Campbell, Ivar Giaever, Eric Grosse, Leo Kadanoff, Robert Laughlin, Gregory Petsko, David Weitz, Peter G. Wolynes (chair), and William Young).

  3. External Advisory Committee to the Center for Nonlinear Studies,
    Los Alamos National Laboratory, January 2003.

  4. External Review Committee, Division of Mathematics and Computer Science,
    Clarkson University, March 2006.

  5. External Advisory Committee to the Center for Nonlinear Studies,
    Los Alamos National Laboratory, 26-27 April 2007,
    (with David K. Campbell (chair), Susan Coopersmith, Herbert Levine, Eugene Stanley, David Weitz, Thomas Witten, and William Young)

  6. External Advisory Committee to the Center for Nonlinear Studies,
    Los Alamos National Laboratory, 29-30 January 2009,
    (with Michael Brenner, David K. Campbell (chair), Susan Coopersmith, Daniel Fisher, Herbert Levine, Thomas Witten)

  7. Chair, External Review Committee, Department of Mathematics,
    United States Naval Academy, 2009.
    (with Karla Hoffman, Jessica Utts, Frank Morgan, and James Sellers)

Institute for Physical Science and Technology Service

Mathematics Department Service

University Service