| Weekly Meetings: | 4:00pm - 4:50pm Mondays in MTH 1308 | |
| Team Directors: | Stuart Antman (ssa"at"math) | Sandra Cerrai (cerrai"at"math) |
| Manoussos Grillakis (mng"at"math) | David Levermore (lvrmr"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 |
| 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 Bose-Einstein Condensates |
| 6 April | Sandra Cerrai | Quasipotentials and Exit Times |
| 13 April | Antoine Mellet | Front Propagation in Heterogeneous Media |
| 20 April | Konstantina Trivisa | Asymptotics and Navier-Stokes |
| 27 April | Manoussos Grillakis | Bose-Einstein Condensates |
| 4 May | Arthur Cheng | Two-Phase Euler |
| 11 May | Cynthia Bossard | Mathematical Models for Stock Prices |
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.
Work Schedule: Meetings will be held weekly.
| 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 | Smoluchowski-Kramers Approximation for the Langevin Equation with Reflection |
| Sandra Cerrai | Smoluchowski-Kramers Approximation for Stochastic PDEs | |
| 24 September | Alexey Miroshnikov | Radial Shocks in Elastodynamics |
| Stuart Antman | Time-Asymptotics for Nonlinear PDEs | |
| 1 October | Avanti Athreya | Metastability for Nearly-Hamiltonian Systems |
| Weiran Sun | Low Mach Number Limits for Dispersive Navier-Stokes Systems | |
| 8 October | J.T. Halbert | Dissipative Particle Dynamics |
| David Levermore | Equations-of-State for Pressure | |
| 15 October | Konstantinos Spiliopoulos | Reaction-Diffusion 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 Reaction-Diffusion 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 Navier-Stokes Systems |