Weekly Meetings: | 3:00pm - 3:50pm Mondays in MTH 1311 | |
Team Directors: | Jacob Bedrossian (jacob"at"cscamm) | Maria Cameron (cameron"at"math) |
Sandra Cerrai (cerrai"at"math) | Manoussos Grillakis (mng"at"math) | |
Lise-Marie Imbert-Gerard (lmig"at"math) | Pierre-Emmanuel 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 |
9 September | David Levermore | Weakly Nonlinear Approximations for Wave Equations |
16 September | Jacob Bedrossian | Computer Assisted Proofs in Analysis with Applications to Differential Equations I |
23 September | Jacob Bedrossian | Computer Assisted Proofs in Analysis with Applications to Differential Equations II |
30 September | David Levermore | Nonideal Gases, Clausius, Boltzmann, and the Birth of Ergodic Theory |
7 October | David Levermore | Reduction of Linear Models with an Application to Moment Closures of the Linearized Boltzmann Equation |
14 October | Stavros Papathanasiou | Besov Spaces and Onsager's Conjecture |
21 October | Yijing Wu | Regularity Theory for Nonlocal Elliptic Operators and Free Boundary Problems |
28 October | Kyle Liss | Introduction to the Space-Time Resonances Method |
4 November | Fei Wang | Inviscid Limit Problem for 2D and 3D Navier-Stokes Equations |
11 November | Alex Blumenthal | Ruelle-Takens Route to Hydrodynamic "Turbulence" (but Actually Just to Chaos) |
18 November | Alex Blumenthal | Euler Equations as a Geodesic Flow on the Space of Lagrangian Flow Diffeomorphisms |
25 November | Pranava Jayanti | Finite-Time Blow-Up for an Averaged 3D Navier-Stokes Equation I |
2 December | Anqi Ye | Existence of Smooth Solutions to the Euler/Vlasov-Fokker-Planck System |
9 December | Pranava Jayanti | Finite-Time Blow-Up for an Averaged 3D Navier-Stokes Equation II |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Lise-Marie Imbert-Gerard, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Visitor: | Tao Luo |
Postdocs: | Alex Blumenthal, Heyrim Cho, Daisy Dahiya, Divyang Bhimani, Javier Morales, Jan Peszek, Ruiwen Shu, Fei Wang |
Students: |
Keagan Callis, Jacky Chong, Xin Dong, Siming He, Pranava Jayanti,
Shahnawaz Khalid, Kyle Liss, Yuchen Luo, Martin Molina, Stavros Papathanasiou, Nick Paskal, Michael Rawson, Stephen Sorokanich, Tessa Thorsen, Shuo Yang, Anqi Ye |
Undergrads: | John Freal, William Golding |
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 can be 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 |
4 February | Pierre-Emmanuel Jabin | Importance of Exchangeability in Large Systems of Particles: Quantifying the Hewitt-Savage Theorem |
11 February | David Levermore | Introduction to Linear Semigroup Theory |
18 February | William Golding | Uniqueness of Solutions to the 2-D Vorticity Equation with Measure-Valued Initial Data |
25 February | Tao Luo | Geometry and Estimates for some Fluid Free Boundary Problems |
4 March | Eitan Tadmor | Hierarchical Solution of Ill-Posed Inverse Problems |
11 March | Jacob Bedrossian | Nonlinear Schrödinger Equations on Tori |
18 March | Spring Break | |
25 March | Kyle Liss | Stability of Three Dimensional Couette Flow in a Uniform Magnetic Field |
1 April | Xin Dong | Local Well-Posedness for a Nonlinear Schrödinger Equation for Infinitely Many Fermions in a Maganetic Field |
8 April | Martin Molina | Regularity Connected with a Discrete Optimal Transportation Problem |
15 April | Stavros Papathanasiou | Systems of Point Vortices in Two Dimensions |
22 April | Jacky Chong | Spacetime Estimate for Schrödinger Densities on Closed Manifolds |
29 April | Javier Morales | Dynamical Transportation Distances and Applications |
6 May | Ruiwen Shu | Role of Anticipation in Self-Organized Dynamics |
13 May | Pranava Jayanti | Dissipation in Weak Solutions of the Navier-Stokes and Euler Equations for Incompressible Flow |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Lise-Marie Imbert-Gerard, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Visitor: | Tao Luo |
Postdocs: | Alex Blumenthal, Heyrim Cho, Daisy Dahiya, Divyang Bhimani, Javier Morales, Jan Peszek, Ruiwen Shu, Fei Wang |
Students: |
Keagan Callis, Jacky Chong, Xin Dong, Siming He, Pranava Jayanti,
Shahnawaz Khalid, Kyle Liss, Yuchen Luo, Martin Molina, Stavros Papathanasiou, Nick Paskal, Michael Rawson, Stephen Sorokanich, Tessa Thorsen, Shuo Yang, Anqi Ye |
Undergrads: | John Freal, William Golding |
Date | Speaker | Topic |
10 September | David Levermore | Introduction to Singular Integral Operators |
17 September | Jacob Bedrossian | Introduction to the Calderon-Zygmund Inequality |
24 September | Matei Machedon | Introdution to Fourier Integral Operators |
1 October | William Golding | Self-Similar Solutions to the 3D Navier-Stokes Equations |
8 October | Heyrim Cho | Continuous Cell State Models in Drug Resistance and Cell Differentiation |
15 October | Divyang Bhimani | Modulation Spaces and Applications to Hartree Equations |
22 October | Alex Blumenthal | Statistics of Chaotic Strange Attractors for PDEs |
29 October | Tessa Thorsen | Weak Sequential Stability of a Polymeric Fluid Model |
5 November | Fei Wang | Gaussian Perturbation of a Dynamical System in the Neighborhood of an Equilibrium |
12 November | Nicholas Paskal | Using Electrostatics to Study the Exit Problem for Stochastic Differential Equations |
19 November | Martin Molina | More on Optimal Transport Regularity |
26 November | Eitan Tadmor | PDEs for Collective Dynamics |
3 December | Ruiwen Shu | Cucker-Smale Model with an External Potential |
10 December | Anqi Ye | Measured-Valued Solutions of the Euler System |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Lise-Marie Imbert-Gerard, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Postdocs: | Alex Blumenthal, Heyrim Cho, Daisy Dahiya, Divyang Bhimani, Javier Morales, Jan Peszek, Ruiwen Shu, Fei Wang |
Students: |
Keagan Callis, Jacky Chong, Siming He, Ian Johnson,
Shahnawaz Khalid, Kyle Liss, Yuchen Luo, Martin Molina, Stavros Papathanasiou, Nick Paskal, Michael Rawson, Stephen Sorokanich, Tessa Thorsen, Shuo Yang, Anqi Ye |
Undergrads: | John Freal, William Golding |
Date | Speaker | Topic |
5 February | David Levermore | Turbulence Modeling Beyond Eddy Viscosity |
12 February | Samuel Punshon-Smith | Introduction to the Theory of Renormalized Solutions for the Boltzmann Equation |
19 February | Pierre-Emmanuel Jabin | Measures of Measures and PDEs in Infinite Dimensions |
26 February | Konstantina Trivisa | Towards a Free Boundary Problem |
5 March | Heyrim Cho | Extensions of Karhunen Loeve Expansions to Represent Stochastic Processes |
12 March | Stephan Sorokanich | Non-Hermitian Operators in Quantum Mechanics and Spectral Theory |
19 March | Spring Break | |
26 March | Nicholas Paskal | Nonexistence of K41 Scaling Laws for 2D Stochastic Navier-Stokes Equations |
2 April | Jacky Chong | Strichartz Estimates for the Schrödinger Equation on Closed Manifolds |
9 April | Martin Molina | Regularity of Optimal Transportion |
16 April | Fei Wang | Far-Field Regularity for the Surface Quasi-Geostrophic (SQG) Equation |
23 April | Kyle Liss | Stability of 3D Couette Flow |
30 April | Tessa Thorsen | A Relative Entropy Method in a Polymeric Fluid Model |
7 May | Jan Peszek | A Singular Cucker-Smale Model and Its Variants |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Postdocs: | Alex Blumenthal, Heyrim Cho, Daisy Dahiya, Javier Morales, Jan Peszek Samuel Punshon-Smith, Fei Wang, Franziska Weber |
Students: |
Keagan Callis, Jacky Chong, Siming He, Ian Johnson,
Shahnawaz Khalid, Kyle Liss, Yuchen Luo, Martin Molina, Nick Paskal, Michael Rawson, Stephen Sorokanich, Tessa Thorsen, Shuo Yang |
Undergrads: | Yotam Yaniv |
Date | Speaker | Topic |
11 September | Jacob Bedrossian | Introduction to Littlewood-Paley and Some Applications |
18 September | Nicholas Paskal | Introduction to Rough Paths |
25 September | Samuel Punshon-Smith | Uniqueness for Stochastic Transport Equations with Locally L^2 Vector Fields |
2 October | Javier Morales | Least-Action Principles and Collective Dynamics |
9 October | Daisy Dahiya | An Ordered Line-Integral Method for Hamilton-Jacobi Type Equations |
16 October | Heyrim Cho | PDE Models in Tumor Growth and Drug Resistance |
23 October | Stephan Sorokanich | Mathematical Aspects of Non-Hermitian Operators in Quantum Physics |
30 October | Jacky Chong | Dynamical Collapse of White Dwarfs in Hartree-Fock Theory |
6 November | Fei Wang | The van Dommelen and Shen Singularity in the Prandtl Equations |
13 November | Franziska Weber | Something about Turbulence |
20 November | Martin Molina | Applications and Optimal Transport |
27 November | Siming He | Modulus of Continuity Method in Fluid Mechanics |
4 December | Dionisios Margetis | Chasing Zero Dielectric Permittivity in 2D Materials: Homogenization of Maxwell's Equations in Exotic Layered Structures |
11 December | Ian Johnson | Slope Selection in Multilayer Crystal Growth |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Postdocs: | Alex Blumenthal, Heyrim Cho, Daisy Dahiya, Javier Morales, Samuel Punshon-Smith, Fei Wang, Franziska Weber |
Students: |
Keagan Callis, Jacky Chong, Siming He, Ian Johnson,
Shahnawaz Khalid, Kyle Liss, Yuchen Luo, Martin Molina, Nick Paskal, Michael Rawson, Stephen Sorokanich, Shuo Yang |
Date | Speaker | Topic |
6 February | Pierre-Emmanuel Jabin | Quantitative Regularity Estimates for Advection Equations |
13 February | Samuel Punshon-Smith | Stochastic Transport Equations with Rough Coefficients: Existence and Uniqueness |
20 February | Jacob Bedrossian | Local Well-Posedness of the Navier-Stokes Equations in L^3 via Fixed Point Methods |
27 February | Jacky Chong | Local Well-Posedness of the Time-Dependent Hartree-Fock-Bogoliubov Equations in R^{1+1} |
6 March | Siming He | Onsager Conjecture about the Euler Hydrodynamics System: Introduction and Recent Results |
13 March | William Golding | An Application of Brouwer Degree Theory to the Existence of Periodic Solutions |
20 March | Spring Break | |
27 March | Heyrim Cho | Reduced Basis Method for Anisotropic Stochastic PDEs |
3 April | Alex Blumenthal | Lyapunov Exponents and the Dimension of Global Attractors for Dissipative Parabolic PDEs |
10 April | Franziska Weber | Introduction to Wave Map and Related Equations |
17 April | Charlie Parker | Sobolev Stability of a Shear Flow |
24 April | Daisy Dahiya | An Ordered Line Integral Method for Hamilton-Jacobi Type Equations Postponed until Fall due to University Closure |
1 May | Martin Molina | Optimal Transportation and Partial Differential Equations |
8 May | Nick Paskal | The Weak Convergence Approach to Large Deviations for SPDEs |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Postdocs: | Alex Blumenthal, Heyrim Cho, Daisy Dahiya, Franziska Weber, Michele Coti Zelati |
Students: |
Jacky Chong, Siming He, Shahnawaz Khalid, Kyle Liss, Chunting Lu,
Yuchen Luo, Martin Molina, Nick Paskal, Samuel Punshon-Smith, Stephen Sorokanich, Zhenfu Wang, Shuo Yang |
Undergrads: | William Golding, Charlie Parker |
Date | Speaker | Topic |
12 September | Pierre-Emmanuel Jabin | Trace Inequalities for Matrices and the Heisenberg Equation |
19 September | Antoine Mellet | Diffusion Approximation of Transport Phenomena |
26 September | Jacob Bedrossian | Critical Regularity Criteria for the 3D Navier-Stokes Equations via Compactness-Rigidity Arguments |
3 October | Michele Coti Zelati | Mixing by Incompressible Flows |
10 October | David Levermore | Can We Model Uncertainty? |
17 October | Samuel Punshon-Smith | Stochastic Boltzmann Equation and Its Fluid Limits |
24 October | Heyrim Cho | Adaptive Reduced-Basis Method for Parametrized Stochastic PDEs |
31 October | Jacky Chong | Beyond Mean-Field Limits: Evolution of Fock Space Matrices |
7 November | Zhenfu Wang | Mean Field Limit for Stochastic Particle Systems with Singular Forces |
14 November | Konstantina Trivisa | Analysis on a Class of Nonlinear Partial Differential Equations |
21 November | Martin Molina | A Well-Posedness Theory in Measures for some Kinetic Models |
28 November | Sandra Cerrai | Large Deviations for the Two-Dimensional Stochastic Navier-Stokes Equation with Vanishing Noise Correlation |
5 December | Dionisios Margetis | Exotic Plasmons: Maxwell meets Dirac, Wiener, and Hopf |
12 December | Stephen Sorokanich | The One Dimensional Boson Gas with Point Interactions: Exactly Soluble Models |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Postdocs: | Heyrim Cho, Michele Coti Zelati |
Students: |
Jacky Chong, Shahnawaz Khalid, Kyle Liss, Chunting Lu,
Yuchen Luo, Martin Molina, Samuel Punshon-Smith, Stephen Sorokanich Zhenfu Wang, Shuo Yang |
Date | Speaker | Topic |
8 February | David Levermore | Riccati Equations Arising from Hydrodynamics |
15 February | P.-E. Jabin | Navier-Stokes-Fourier System (Snow!) |
22 February | Michele Coti Zelati | Mixing and Enhanced Dissipation in Shear Flows |
29 February | Jacky Chong | Beyond Mean-Field Equations |
7 March | Zhenfu Wang | Mean-Field Limits of Stochastic Particle Systems |
14 March | Spring Break | |
21 March | Zhenning Cai | Spectral Method for the Boltzmann Equation |
28 March | Matias Delgadino | The Cahn-Hilliard Equation as a Wasserstein Gradiant Flow |
4 April | Eitan Tadmor | Riccati Revisited: Critical Thresholds in Eulerian Dynamics |
11 April | Ian Johnson | Diffusion Approximations to Master Equations with Application to Crystal Growth |
18 April | Kilian Cooley | ENO and WENO Stability |
25 April | Siming He | Keller-Segel Equation |
2 May | George Quinn | Biometric Applications of Partial Differential Equations |
9 May | Martin Molina | Equilibration Rates for Granular Media and Related Equations |
Faculty: |
Stuart Antman, Jacob Bedrossian, Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Visitor: | Gadi Fibich |
Postdocs: | Heyrim Cho, Michele Coti Zelati |
Students: |
Jacky Chong, Kilian Cooley, Matias Delgadino,
Stefan Doboszczak, Siming He, Ian Johnson, Weilin Li,
Chunting Lu, Martin Molina, George Quinn, Samuel Punshon-Smith, Joshua Schneider, Scott Smith, Luyu Sun, Zhenfu Wang, Ming Zhong |
Date | Speaker | Topic |
14 September | Michele Coti Zelati | Regularity Results for Active Scalar Equations |
21 September | Pierre Emmanuel Jabin | Renormalized Solutions: An Introduction to the Well Posedness Theory for Advection Equations |
28 September | Alexey Stepanov | Analysis of Dynamical Solutions of 2D Nonlinear Viscoelasticity |
5 October | Heyrim Cho | Probability Density Approach for Stochastic Systems with Colored Noise |
12 October | Jacky Chong | Derivation of the Nonlinear Schrödinger Equation in R^3 |
19 October | Dio Margetis | On Classical Solutions of Maxwell's Equations: Ghost Waves on Graphene Sheets |
26 October | Zhenfu Wang | Mean-Field Limit for Second-Order Systems with a Bounded Interaction Kernel |
2 November | Scott Smith | Global Existence of Renormalized Martingale Solutions to a Stochastic Boltzmann Equation |
9 November | Kilian Cooley | Energy-Stable WENO Methods |
16 November | Sam Punshon-Smith | Coarsening of One-Dimensional Particle Systems |
23 November | Joshua Schneider | Morphological Evolution of Crystal Surfaces: Connecting Atomistic and Continuum Models |
30 November | Ian Johnson | A Stochastic Difference Scheme
for Step Flow in Crystal Growth Postponed to the Spring Semester |
7 December | Jacob Bedrossian | Subcritical Transition for the Three Dimensional Incompressible Navier-Stokes System |
Faculty: |
Stuart Antman, Jacob Bedrossian Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Visitor: | Gadi Fibich |
Postdocs: | Heyrim Cho, Michele Coti Zelati |
Students: |
Ross Adelman, Jacky Chong, Kilian Cooley, Matias Delgadino,
Stefan Doboszczak, Siming He, Ian Johnson, Elif Kuz, Weilin Li,
Chunting Lu, Martin Molina, Samuel Punshon-Smith, Joshua Schneider, Scott Smith, Colleen Stock, Luyu Sun, Zhenfu Wang, Ming Zhong |
Date | Speaker | Topic |
2 February | P-E Jabin | An Introduction to Besov Spaces |
9 February | Jacob Bedrossian | Kinetic Theory of Plasmas |
16 February | Michele Coti Zelati | Regularity Results for Active Scalar Equations |
23 February | Changhui Tan | Presureless Euler Equations |
2 March | Dio Margetis | Density Functional Theory |
9 March | Siming He | Sub-Critical Keller-Segel Equation |
16 March | Spring Break | |
23 March | Konstantina Trivisa | TBA |
30 March | Joshua Schneider | Model of Crystal Growth Arising from a Particle System |
6 April | Sam Punshton-Smith | Stochastic Representations of Fluids |
13 April | Scott Smith | Concentration Compactness |
20 April | Zhenfu Wang | TBA |
27 April | Luyu Sun | Self-Organized Dynamics |
Faculty: |
Stuart Antman, Jacob Bedrossian Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Visitor: | Gadi Fibich |
Postdocs: | Changhui Tan, Michele Coti Zelati |
Students: |
Ross Adelman, Jacky Chong, Matias Delgadino, Stefan Doboszczak,
Siming He, Elif Kuz, Weilin Li, Martin Molina, Mazier Raissi, Mickey Salins, Samuel Punshon-Smith, Joshua Schneider, Scott Smith, Colleen Stock, Luyu Sun, Zhenfu Wang, Ming Zhong |
Date | Speaker | Topic |
15 September | Dio Margetis | Bosons Systems: An Introduction I |
22 September | Dio Margetis | Bosons Systems: An Introduction II |
29 September | Jacob Bedrossian | Mixing |
6 October | Sam Punshon-Smith | Hydrodynamic Limits for Hamiltonian Systems |
13 October | P.E. Jabin | Ergodic Theory for Transport Equations |
20 October | Maria Cameron | Metastability, Spectra, and Eigencurrents of Networks Representing Energy Landscapes |
27 October | Young Researchers Workshop in CSCAMM | Multiscale Phenomena: Modeling, Analysis and Computation |
3 November | Manos Grillakis | On the BCS theory of Superconductivity |
10 November | Mickey Salins | Stochastic PDE's |
17 November | Colleen M. Stock | Seminumeric Approaches to the Eikonal Equation |
24 November | Zhenfu Wang | Mean Field Limits for Stochastic Particles |
1 December | Jacky Chong | Derivation of the 2-D Nonlinear Schrödinger Equation on the Torus |
8 December | Sandra Cerrai | The Exit Problem for PDE Perturbed by Rough Noise |
Faculty: |
Stuart Antman, Jacob Bedrossian Maria Cameron, Sandra Cerrai,
Manoussos Grillakis, Pierre-Emmanuel Jabin, David Levermore, Doron Levy, Matei Machedon, Dionisios Margetis, Antoine Mellet, Eitan Tadmor, Konstantina Trivisa |
Visitor: | Gadi Fibich |
Postdocs: | Changhui Tan, Magalis Tournus |
Students: |
Ross Adelman, Jacky Chong, Matias Delgadino, Stefan Doboszczak,
Siming He, Elif Kuz, Weilin Li, Chunting Lu, Martin Molina, Mazier Raissi, Mickey Salins, Samuel Punshon-Smith, Scott Smith, Colleen Stock, Luyu Sun, Zhenfu Wang, Ming Zhong |
Date | Speaker | Topic |
3 February | Manoussos Grillakis | On the Wave-Map Problem: Geometry and Symmetries |
10 February | Spyridon Kamvissis | Introduction to Riemann-Hilbert Methods: Connection to Soliton Equations |
17 February | Matei Machedon | Littlewood-Paley Theory |
24 February | Spyridon Kamvissis | Applications of Riemann-Hilbert 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 | Well-Posedness 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 | Ki-Net Conference | Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs |
5 May | Scott Smith | On the Katz-Pavlovic Dyadic Model of the Euler Equations |
12 May | Mazier Raissi | Multi-Fidelity 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 Punshon-Smith, Scott Smith, Luyu Sun, Changhui Tan, Zhenfu Wang, Ming Zhong |
Date | Speaker | Topic |
16 September | Pierre Emmanuele Jabin | Ordinary Differential Equations and Linear Advection Equations: From Cauchy-Lipschitz 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 Navier-Stokes System of Hydrodynamics |
4 November | Sam Punshon-Smith | Boltzmann-Grad Limit for Particles Interacting via Short-Range 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 | Monge-Mather Shortening Principle |
9 December | Stu Antman | A Fluid-Solid 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 Punshon-Smith, 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 Space-Time Petrov-Galerkin Discretizations for Parabolic Equations |
4 March | Josh Ballew | Weak-Strong Uniqueness of a Navier-Stokes-Smolkowski System |
11 March | Yong-Yong Cai | Bose-Einstein 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 Fokker-Planck 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 Punshon-Smith, 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 Rod-Like Molecules |
1 October | Maria Cameron | Analysis of the Stochastic Network Associated with the Lennard-Jones-38 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 | KI-Net Conference | Kinetic Description of Social Dynamics: From Consensus to Flocking |
12 November | Sam Punshon-Smith | Fokker-Planck 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 | Second-Order Elliptic Equations with a Small Parameter |
10 December | Dionisios Margetis | High-Frequency 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 Punshon-Smith, 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 | Kaniel-Shinbrot Iteration and Global Solutions of the Cauchy Problem for the Boltzmann Equation |
2 April | Hantaek Bae | Navier-Stokes 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 Navier-Stokes-Smoluchowski 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 Schrödinger 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 High-Frequency 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 | Bose-Einstein Condensation and the Kompaneets Equation |
21 February | no speaker | no speaker |
28 February | no speaker | no speaker |
7 March | Suleyman Ulusoy | Keller-Segel Type Systems in Higher Dimensions |
14 March | Xuwen Chen | Uniqueness of Solutions to the Gross-Pitaevskii 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 Long-Time Influence of Small Perturbations |
25 April | Hantaek Bae | Analyticity and Time Decay of Solutions to the 3D Navier-Stokes Equations and 2D Quasi-Geostrophic Equations |
2 May | Peter Wolfe | Discontinuous Petrov-Galerkin 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 Heavily-Burdened, 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 Heavily-Burdened, Deformable Bodies |
25 October | Ioannis Markou | Convergence to Equilibria of Solutions to a Fokker-Planck Equation |
1 November | Maria Cameron | Computing Transition Paths for Rare Events |
8 November | Josh Ballew | Singular Limits of the Compressible Navier-Stokes 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 | Fluid-Particle 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 Multi-Dimensions |
22 February | Sandra Cerrai | Normal Fluctuations Around the Averaged Motion for a Class
of Reaction-Diffusion Equations Perturbed by a Fast Oscillating Stochastic Term |
1 March | Hantaek Bae | Free Boundary-Value Problem of the Navier-Stokes Equations with Surface Tension |
8 March | Xuwen Chen | Nonlinear Schrödinger Equations |
22 March | Peter Wolfe | An Introduction to Evans Functions |
29 March | Stu Antman | TBA |
5 April | Brent Baccala | A Stress-Free 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 Cucker-Smale 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 Many-Body Systems,
the Hartree Equation, and Beyond Joint work with M. Grillakis and D. Margetis |
21 September | FRG Meeting: Tai-Ping Liu et. al. |
Kinetic Description of Multiscale Phenomena Room: CSIC 4122 |
28 September | Dave Levermore | Dissperive Corrections to the Compressible Navier-Stokes System |
5 October | Jae Ryong Kweon | Discontinuity of Solutions to the Compressible Navier-Stokes 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 Long-Time Behavior of Weak Solutions for the Hele-Shaw 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 Navier-Stokes and Related Equations |
30 November | Hantaek Bae | The Littlewood-Paley Theory and Applications to PDEs |
7 December | Knut Waagan | Numerical Solution of Astrophysical Magnetohydrodynamics
in Multi-Dimensions 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 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 |
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 |
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 |