Weekly Meetings:  3:00pm  3:50pm Mondays in MTH 1311  
Team Directors:  Stuart Antman (ssa"at"math)  Maria Cameron (cameron"at"math) 
Sandra Cerrai (cerrai"at"math)  Manoussos Grillakis (mng"at"math)  
Pierre Emmanuele Jabin (pjabin"at"math)  David Levermore (lvrmr"at"math)  
Doron Levy (dlevy"at"math)  Matei Machedon (mxm"at"math)  
Dionisios Margetis (dio"at"math)  Antoine Mellet (mellet"at"math)  
Eitan Tadmor (tadmor"at"cscamm)  Konstantina Trivisa (trivisa"at"math) 
Date  Speaker  Topic 
3 February  Manoussos Grillakis  On the WaveMap Problem: Geometry and Symmetries 
10 February  Spyridon Kamvissis  Introduction to RiemannHilbert Methods:
Connection to Soliton Equations 
17 February  Matei Machedon  LittlewoodPaley Theory 
24 February  Spyridon Kamvissis  Applications of RiemannHilbert Methods:
Orthogonal Polynomials and Random Matrices 
3 March  Eitan Tadmor  Entropy Structure and Hyperbolic Systems (snow day) 
10 March  David Levermore  Scattering Theory for the Boltzmann Equation
and the Arrow of Time 
24 March  Pierre Emmanuele Jabin  WellPosedness for Parabolic Equations and
Stochastic Differential Equations
with Rough Coefficients 
31 March  Matias Delgadino  Introduction to the Harmonic Obstacle Problem with
an Application to Interaction Energy Minimizers 
7 April  Stefan Doboszczak  Introduction to PDE Existence
via Weak Convergence Methods 
14 April  Chunting Lu  Acoustic Limit about a Global Maxwellian
for Solutions of the Boltzmann Equation
that have Finite Second Moments 
21 April  Changhui Tan  On the Smoluchowski Coagulation Equation
and Gelation Formation 
28 April  KiNet Conference 
Modern Perspectives in Applied Mathematics:
Theory and Numerics of PDEs 
5 May  Scott Smith  On the KatzPavlovic Dyadic Model of the Euler Equations 
12 May  Mazier Raissi  MultiFidelity Stochastic Collocation Method
for Parabolic PDEs with Random Forcing 
Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
Pierre Emmanuele Jabin,
David Levermore,
Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor Konstantina Trivisa 
Visitors:  Spyros Kamvissis 
Postdocs:  Thomas Rey 
Students: 
Ross Adelman,
Josh Ballew,
Matias Delgadino,
Stefan Doboszczak,
Siming He,
Elif Kuz,
Weilin Li,
Chunting Lu,
Martin Molina, Kanna Nakamura, Mazier Raissi, Samuel PunshonSmith, Scott Smith, Luyu Sun, Changhui Tan, Zhenfu Wang, Ming Zhong 
Graduate Prerequisites: Analysis (Math 630), or PDEs (Math 673), or ODEs (Math 414 or 670), or numerics (AMSC 666 or 660), or probability (STAT 600). Some knowledge of partial differential equations would be useful. Permission of a Team Director.
Undergraduate Prerequisites: Advanced calculus (Math 410) and differential equations (Math 246). Any of the following are useful but not required: complex variables (Math 463), ODE (Math 414), PDE (Math 462), computation (AMSC 460 or AMSC 466). Permission of a Team Director.
Graduate Program: Team members will make presentations either on readings of fundamental papers or book chapters, or on their own analytical and/or numerical investigations. When appropriate, these may be developed into more formal presentations for seminars, conferences, or publication. Team members will be asked to help mentor more junior team members.
Undergraduate Program: Same as above, as appropriate to the background of the student.
Credit: Students can participate without signing up for credit. Students who sign up for credit typically take one credit; they are expected to attend regularly and to make one presentation. Students who sign up for two credits are expected to attend regularly and to either make three presentations or make one presentation and produce a related written report or project. This last option has been used by AMSC students to prepare for their oral candidacy exam; the written part becomes their AMSC Candidacy Prospectus, and their presentation becomes practice for their oral exam. Students who sign up for three credits will be expected to attend regularly, to make three presentations, and to produce a related written report or project.
Work Schedule: Meetings will be held weekly.
Date  Speaker  Topic 
16 September  Pierre Emmanuele Jabin  Ordinary Differential Equations
and Linear Advection Equations: From
CauchyLipschitz to Renormalized Solutions 
23 September  Matias Delgadino  Introduction to Optimal Transportation 
30 September  Pierre Emmanuele Jabin  Introduction to the Classical Theory
for Stochastic Differerential Equations
and the Connection with Diffusion PDE's 
7 October  David Levermore  Statistical Approaches to Modeling Dynamics:
Some Background 
14 October  CSCAMM Workshop 
Kinetic and Macroscopic Models for Complex Systems 
21 October  Matias Delgadino  Displacement Convexity and Optimal Transportation 
28 October  Eitan Tadmor  Partial Regularity for the
NavierStokes System of Hydrodynamics 
4 November  Sam PunshonSmith  BoltzmannGrad Limit for Particles Interacting
via ShortRange Potentials: Overview 
11 November  Thomas Rey  Perturbative Existence Theories
for the Boltzmann Equation 
18 November  Scott Smith  Martingales and Fluids 
25 November  Elif Kuz  Rate of Convergence to the Mean Field for Interacting Bosons 
2 December  Zhenfu Wang  MongeMather Shortening Principle 
9 December  Stu Antman  A FluidSolid Interaction Problem 
Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
Pierre Emmanuele Jabin,
David Levermore,
Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor 
Postdocs:  Thomas Rey 
Students: 
Ross Adelman,
Josh Ballew,
Matias Delgadino,
Stefan Doboszczak,
Siming He,
Elif Kuz,
Weilin Li,
Chunting Lu,
Martin Molina, Kanna Nakamura, Mazier Raissi, Samuel PunshonSmith, Scott Smith, Luyu Sun, Changhui Tan, Zhenfu Wang, Ming Zhong 
Date  Speaker  Topic 
4 February  Pierre Emmanuele Jabin  Calderon Zygmund Theory 
11 February  Thomas Rey  Hydrodynamic Limit of the Granular Gases Equation 
18 February  Kanna Nakamura  Viscosity Solutions with Shocks of Degenerate Parabolic Equations (Postponed) 
25 February  Roman Andreev  Stability of SpaceTime PetrovGalerkin
Discretizations for Parabolic Equations 
4 March  Josh Ballew  WeakStrong Uniqueness of a
NavierStokesSmolkowski System 
11 March  YongYong Cai  BoseEinstein Condensation
for Dispersive Equations 
25 March  David Levermore  Pseudodifferential Operators 
1 April  Thomas Rey  Deterministic Numerical Methods
for the Boltzmann Equation 
8 April  Ioannis Markou  Diffusive Limit for a Spatially
Inhomogeneous FokkerPlanck Equation 
15 April  Antoine Mellet  Free Boundary Problem for Thin Films 
22 April  Eitan Tadmor  Partial Differential Equations
for Image Processing 
29 April  Kanna Nakamura  Viscosity Solutions with Shocks
of Degenerate Parabolic Equations 
6 May  Alexey Stepanov  Global Methods for Problems of Mechanical Growth 
Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
Pierre Emmanuele Jabin,
David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa 
Visitor:  Yongyong Cai 
Postdocs:  Roman Andreev, Sebastien Motsch, Thomas Rey 
Students: 
Josh Ballew,
Matias Delgadino,
Stefan Doboszczak,
Akira Horiguchi,
Wenqing Hu,
Chunting Lu,
Megan Magnoni, Ioannis Markou, Kanna Nakamura, Sam PunshonSmith, Alexey Stepanov, Nathan Suberi, Changhui Tan, Ignacio Tomas, Ming Zhong 
Date  Speaker  Topic 
17 September  David Levermore 
Coarsening of Particle Systems 
24 September  Konstantina Trivisa  On the Doi Model for the Suspension
of RodLike Molecules 
1 October  Maria Cameron 
Analysis of the Stochastic Network Associated
with the LennardJones38 Cluster 
8 October  Changhui Tan  Macroscopic Flocking Models 
15 October  David Levermore 
Modeling Profolios with Risky Assets 
22 October  Matias Delgadino  Flocking Modeled by Kinetic Equations 
29 October  Kanna Nakamura  Remnants of Discrete Dynamics at a Free Boundary
in a Continuum Limit 
5 November  KINet Conference 
Kinetic Description of Social Dynamics:
From Consensus to Flocking 
12 November  Sam PunshonSmith  FokkerPlanck Model of "Integrate and Fire"
Neuronal Networks 
19 November  Sandra Cerrai  Pathwise Uniqueness for Stochastic Partial
Differential Equations in Banach Spaces 
26 November  Doron Levy  Crime Models 
3 December  Wenqing Hu  SecondOrder Elliptic Equations
with a Small Parameter 
10 December  Dionisios Margetis  HighFrequency Asymptotics of Feynman Diagrams
in Quantum Field Theory: Abelian Case 
Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
Pierre Emmanuele Jabin,
David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa 
Students: 
Josh Ballew,
Matias Delgadino,
Stefan Doboszczak,
Wenqing Hu,
Elif Kuz,
Chunting Lu, Kanna Nakamura, Joshua Parker, Sam PunshonSmith, Luyu Sun, Changhui Tan, Jinxin Xue, Dongmian Zou 
Date  Speaker  Topic 
20 February  David Levermore 
Global Maxwellians over All Space and Their Relation
to Converved Quantities of Classical Kinetic Equations

27 February  Eitan Tadmor  Marcinkiewicz Interpolation Theorem and Applications:
An Introduction 
5 March  Pierre Emmanuele Jabin  Velocity Averaging 
12 March  Sebastien Motsch  A Traffic Model for Pedestrians and Its Comparison
with Experimental Data 
26 March  David Levermore 
KanielShinbrot Iteration and Global Solutions
of the Cauchy Problem for the Boltzmann Equation

2 April  Hantaek Bae 
NavierStokes with Supercritical Initial Data

9 April  Antoine Mellet  Equilibrium Capillary Surfaces and Sliding Drops

16 April  Eitan Tadmor  Compensated Compactness 
23 April  Josh Ballew  Low Mach Number Limits to the
NavierStokesSmoluchowski System 
30 April  Chunting Lu  Velocity Averaging in L^1 for
the Transport Equation 
7 May  Pierre Emmanuele Jabin  Wasserstein Distance and
Optimal Transportation 
Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
Pierre Emmanuele Jabin,
David Levermore, Doron Levy, Matei Machedon, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa 
Postdocs:  Hantaek Bae, Sebastien Motsch 
Students: 
Josh Ballew,
Xuwen Chen,
Matias Delgadino,
Stefan Doboszczak,
Chen Dong,
Chunting Lu, Ioannis Markou, Changhui Tan, Matthew Temba 
Date  Speaker  Topic 
19 September  David Levermore  Model Reduction 
26 September  Stuart Antman  Degree Theory 
3 October  Konstantina Trivisa  Admissibility of Weak Solutions  Entropy 
10 October  TBA  TBA 
17 October  Ed Yasutake  Aymptotics 
24 October  Xuwen Chen  Rigorous Derivation of the 2d Cubic
Nonlinear Schroedinger Equation with
Anisotropic Switchable Quadratic Traps 
31 October  TBA  TBA 
7 November  Kanna Nakamura  Homogenization of Heterogeneous Materials 
14 November  Ding Zi  Newton Polynomials 
21 November  Sandra Cerrai  Gamma Convergence 
28 November  Ioannis Markou  Hypocoercivity 
5 December  Dionisios Margetis  On HighFrequency Asymptotics of Quantum Field Theories

Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
Pierre Emmanuele Jabin,
David Levermore,
Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe 
Postdocs:  Hantaek Bae, Trygve Karper, Sebastien Motsch, Abner Salgado 
Students: 
Josh Ballew,
Xuwen Chen,
Chunting Lu,
Ioannis Markou,
Kana Nakamura,
Ian Schoch,
Funing Shi,
Douglas Ulrich, Ed Yasutake, Ding Zi, Ming Zong 
Date  Speaker  Topic 
14 February  David Levermore 
BoseEinstein Condensation and
the Kompaneets Equation 
21 February  no speaker  no speaker 
28 February  no speaker  no speaker 
7 March  Suleyman Ulusoy  KellerSegel Type Systems
in Higher Dimensions 
14 March  Xuwen Chen  Uniqueness of Solutions to
the GrossPitaevskii Hierarchy
with a Switchable Quadratic Trap

28 March  Knut Waagan  Stable Numerical Schemes
for Nonlinear Elasticity 
4 April  Sebastien Motsch  Models of Flocking with
Asymmetric Interactions 
11 April  Trygve Karper  Convergence of Numerical Methods
for Compressible Stokes Flow 
18 April  Sandra Cerrai  Small Mass Asymptotics for a Charged Particle
in a Magnetic Field and the LongTime Influence
of Small Perturbations 
25 April  Hantaek Bae  Analyticity and Time Decay of Solutions
to the 3D NavierStokes Equations and
2D QuasiGeostrophic Equations 
2 May  Peter Wolfe  Discontinuous PetrovGalerkin Methods 
9 May  Alexey Miroshnikov  Variational Schemes in Nonlinear Elasticity,
Convergence and Relative Entropy 
Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
David Levermore,
Doron Levy, Matei Machedon, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe 
Postdocs:  Hantaek Bae, Trygve Karper, Sebastien Motsch, Suleyman Ulusoy, Knut Waagan 
Students:  Josh Ballew, Xuwen Chen, Chunting Lu, Ioannis Markou 
Date  Speaker  Topic 
20 September  Stuart Antman  Formal Aymptotics of HeavilyBurdened,
Deformable Bodies 
27 September  Antoine Mellet  Fractional Diffusion Limits
for Kinetic Equations 
4 October  David Levermore  Corrections to Diffusion Approximations
Derived from Kinetic Equations 
11 October  Dionisios Margetis  Notions of Noise in Material Science 
18 October  Suleyman Ulusoy  Aymptotics of HeavilyBurdened,
Deformable Bodies 
25 October  Ioannis Markou  Convergence to Equilibria of Solutions
to a FokkerPlanck Equation 
1 November  Maria Cameron  Computing Transition Paths for Rare Events 
8 November  Josh Ballew  Singular Limits of the Compressible
NavierStokes System 
15 November  Kanna Nakamura  Evolution of Crystal Surface: Boundary Conditions
and Decay Estimates 
22 November  Eitan Tadmor  Linear PDEs in Critical Regularity Spaces:
Hierarchical Construction of their
Nonlinear Solutions 
29 November  Changhui Tan  Hierarchical Construction of Bounded Solutions
to div U = f 
6 December  Konstantina Trivisa  FluidParticle Interactions
(postponed until spring) 
Faculty: 
Stuart Antman,
Maria Cameron,
Sandra Cerrai,
Manoussos Grillakis,
David Levermore,
Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe 
Postdocs:  Suleyman Ulusoy 
Students:  Josh Ballew, Ariel Hafftka, Ioannis Markou, Kanna, Nakamura, Changhui Tan, Dan Weinberg 
Date  Speaker  Topic 
8 February  Brent Baccala  Postponed due to Snow! 
15 February  Knut Waagan  Numerical Solution of Astrophysical Magnetohydrodynamics
in MultiDimensions 
22 February  Sandra Cerrai  Normal Fluctuations Around the Averaged Motion for a
Class of ReactionDiffusion Equations Perturbed by a Fast Oscillating Stochastic Term 
1 March  Hantaek Bae  Free BoundaryValue Problem of the NavierStokes
Equations with Surface Tension 
8 March  Xuwen Chen  Nonlinear Schroedinger Equations 
22 March  Peter Wolfe  An Introduction to Evans Functions 
29 March  Stu Antman  TBA 
5 April  Brent Baccala  A StressFree Introduction to Differential Algebra 
12 April  Antoine Mellet  Homogenization of Some Obstacle Problems 
19 April  Dave Levermore  Global Classical Solutions of the Boltzmann Equation
with Noncutoff Kernels a'la Gressman and Strain I 
26 April  Manoussos Grillakis  Global Classical Solutions of the Boltzmann Equation
with Noncutoff Kernels a'la Gressman and Strain II 
3 May  Animikh Biswas  TBA 
10 May  Sebastien Motsch  Models of Flocking:
the CuckerSmale Model and Beyond 
Faculty: 
Stuart Antman,
Sandra Cerrai,
Manoussos Grillakis,
David Levermore,
Doron Levy, Matei Machedon, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Peter Wolfe 
Visitors:  Animikh Biswas 
Postdocs:  Hantaek Bae, Sebastien Motsch, Suleyman Ulusoy, Knut Waagan 
Students:  Brent Baccala, Xuwen Chen, Ioannis Markou 
Date  Speaker  Topic 
14 September  Matei Machedon  Quantum Dynamics of ManyBody Systems,
the Hartree Equation, and Beyond Joint work with M. Grillakis and D. Margetis 
21 September  FRG Meeting: TaiPing Liu et. al. 
Kinetic Description of Multiscale Phenomena Room: CSIC 4122 
28 September  Dave Levermore  Dissperive Corrections to the Compressible NavierStokes System 
5 October  Jae Ryong Kweon  Discontinuity of Solutions to the Compressible NavierStokes Equations on Bounded Domains with Corners 
12 October  Aziz Lecture: Thomas J.R. Hughes 
Isogeometric Analysis: Computational Mechanics based on
Modern Developments in Computational Geometry Room: MATH 3206 
19 October  Stu Antman  Invariance and Computation for Hyperbolic Conservation Laws 
26 October  Konstantina Trivisa  Hyperbolic Balance Laws: Sharp Decay Rates & Consequences 
2 November  Suleyman Ulusoy  Asymptotic Equipartition and LongTime Behavior of Weak Solutions for the HeleShaw Flow Problem 
9 November  Dio Margetis  Metamaterials and Metasurfaces: A Homogenization (PDE) Perspective 
16 November  Sandra Cerrai  postponed to spring due to special seminar 
23 November  Animikh Biswas  Analyticity and Gevrey Class Technique for NavierStokes and Related Equations 
30 November  Hantaek Bae  The LittlewoodPaley Theory and Applications to PDEs 
7 December  Knut Waagan  Numerical Solution of Astrophysical Magnetohydrodynamics
in MultiDimensions postponed to spring due to special seminar 
Faculty: 
Stuart Antman,
Sandra Cerrai,
Manoussos Grillakis,
David Levermore,
Doron Levy,
Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa, Athanasios Tzavaras, Peter Wolfe 
Visitors:  Animikh Biswas, J.T. Halbert, Jae Ryong Kweon 
Postdocs:  Hantaek Bae, Sebastien Motsch, Suleyman Ulusoy, Knut Waagan 
Students:  Chungting Lu, Ioannis Markou, Karl Schmitt, Rongrong Wang 
Date  Speaker  Topic 
9 February  J.T. Halbert  Local Equilibrium for Brownian Particles 
16 February  David Levermore  Classical Kinetic Equations, Gaussian Moment Closures, and Fluid Regimes 
23 February  Konstantinos Spiliopoulos  Large Deviations Principle for Feller Diffusion Processes and Wave Front Propagation 
2 March  Stuart Antman  Invariance and Computation for Hyperbolic Conservation Laws (postponed due to snow) 
9 March  Ioannis Markou  The Rouse and Zimm Models in Polymer Dynamics 
23 March  Eitan Tadmor  A New Approach to the 2D Pressureless Equations 
30 March  Dionisios Margetis  Homogenization of Reconstructed Surfaces and BoseEinstein Condensates 
6 April  Sandra Cerrai  Quasipotentials and Exit Times 
13 April  Antoine Mellet  Front Propagation in Heterogeneous Media 
20 April  Konstantina Trivisa  Asymptotics and NavierStokes 
27 April  Manoussos Grillakis  BoseEinstein Condensates 
4 May  Arthur Cheng  TwoPhase Euler 
11 May  Cynthia Bossard  Mathematical Models for Stock Prices 
Faculty: 
Stuart Antman,
Sandra Cerrai,
Manoussos Grillakis,
David Levermore, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa 
Postdocs:  Arthur Cheng, Weiran Sun 
Students:  Avanti Athreya, Cynthia Bossard, J.T. Halbert, Ioannis Markou, Hyejin Kim, Karl Schmitt, Konstantinos Spiliopoulos 
Date  Speaker  Topic 
17 September  Konstantinos Spiliopoulos  SmoluchowskiKramers Approximation for the Langevin Equation with Reflection 
Sandra Cerrai  SmoluchowskiKramers Approximation for Stochastic PDEs  
24 September  Alexey Miroshnikov  Radial Shocks in Elastodynamics 
Stuart Antman  TimeAsymptotics for Nonlinear PDEs  
1 October  Avanti Athreya  Metastability for NearlyHamiltonian Systems 
Weiran Sun  Low Mach Number Limits for Dispersive NavierStokes Systems  
8 October  J.T. Halbert  Dissipative Particle Dynamics 
David Levermore  EquationsofState for Pressure  
15 October  Konstantinos Spiliopoulos  ReactionDiffusion Equations in Narrow Domains and Wave Front Propagation 
22 October  Avanti Athreya  Large Deviations, Metastability, and Averaging for Diffusion Processes 
29 October  Arthur Cheng  The Interaction between Nonlinear Koiter Shells and Viscous Fluids 
5 November  Alexey Miroshnikov  A Time Approximation Scheme for the Equations of Elastodynamics in the Radial Case 
12 November  Konstantina Trivisa  On the Dynamics of Multicomponent Flows (postponed to 20 November PDE Seminar) 
19 November  Sandra Cessai  Fast Diffusion Asymptotics for Stochastic ReactionDiffusion Equations with Boundary Noise 
3 December  Hyejin Kim  Weak Convergence of D_v D_u  Processes 
10 December  Weiran Sun  Low Mach Number Limits for Dispersive NavierStokes Systems 
Faculty:  Stuart Antman, Sandra Cerrai, David Levermore, Konstantina Trivisa, Athanasios Tzavaras 
Postdocs:  Arthur Cheng, Weiran Sun 
Students:  Avanti Athreya, J.T. Halbert, Ioannis Markou, Hyejin Kim, Alexey Miroshnikov, Konstantinos Spiliopoulos 