PDE Seminar via Zoom 2022

Updated: Sep 19

Join Zoom Meeting
Meeting ID: 924 888 5804
Passcode: AMSS2022

Organizer: Quoc-Hung Nguyen , Academy of Mathematics and Systems Science,

Chinese Academy of Sciences, Beijing.

Upcoming Talk

61. September 22nd, 2022, At 9:00 pm-10:00 pm Beijing time

Speaker: Klaus Widmayer(University of Zurich

Title: On the stability of a point charge for the Vlasov-Poisson system

Abstract: A Dirac mass is a particularly simple yet relevant equilibrium of the (repulsive) Vlasov-Poisson equations. This talk addresses the question of its stability in the repulsive setting: we capture the precise asymptotic dynamics of solutions which start as small, smooth and suitably localized perturbations of a point charge. Our analysis builds on the Hamiltonian/symplectic structure of the equations, and makes use of an exact integration of the linearized equation through angle-action coordinates. This allows us to obtain optimal decay estimates and reveals a modified scattering dynamic.

This is joint work with Jiaqi Yang (ICERM) and Benoit Pausader (Brown University).

Join Zoom Meeting
Meeting ID: 924 888 5804
Passcode: AMSS2022

62. October 6th, 2022, At 9:00 pm-10:00 pm Beijing time

Speaker: YaoYao(NUS



Past Talks:

Talks before June, 2021 hosted by ShanghaiTech University.

1. April 9th, 2020

Speaker: Elia Brué, SNS, PISA.

Title: Classical non-uniqueness of characteristic curves associated to Sobolev vector fields

Video and Slides

Speaker: Hyunju Kwon, IAS, Princeton

Title: Strong ill-posedness of the logarithmically regularized 2D Euler equations in the borderline Sobolev space


Speaker: Zhenfu Wang, University of Pennsylvania

Title: Quantitative Methods for the Mean Field Limit Problem

Video and Slides

2. April 16th, 2020

Speaker: Weiren Zhao, NYU Abu Dhabi

Title: Inviscid damping for a class of monotone shear flow

Video and Slides

Speaker: Xavier Ros-Oton, Universität Zürich Title: Generic regularity of free boundaries for the obstacle problem

Video and Slides

Speaker: Hui Yu, Columbia University Title: Regularity of the singular set in the fully nonlinear obstacle problem

Video and Slides

3. April 23rd, 2020

Speaker: Elio Marconi, University of Basel

Title: Regularity estimates for the flow of BV autonomous divergence-free planar vector fields

Video and Slides

Speaker: Charles Collot, Courant institute of mathematical Sciences Title: On the derivation of the homogeneous kinetic wave equation Video and Slides

Speaker: Jacob Bedrossian, University of Maryland

Title: The power spectrum of passive scalar turbulence in the Batchelor regime

Video and Slides

4. April 30th, 2020

Speaker: Tobias Barker, École normale supérieure Title: Quantitative estimates for the Navier-Stokes equations via spatial concentration


Speaker: Camillo De Lellis, IAS, Princeton

Title: The oriented Plateau problem and a question of Almgren

Video and Slides

Speaker: Yu Deng, University of Southern California

Title: Derivation of the wave kinetic equation

Video and Slides

5. May 7th, 2020:

Speaker: Pierre Raphael, University of Cambridge

Title: On blow up for the defocusing NLS and three dimensional viscous compressible fluids

Speaker: Guido De Philippis, Courant institute of mathematical Sciences

Title: Regularity of the free boundary for the two-phase Bernoulli problem


Speaker: Didier Bresch, Université Savoie Mont-Blanc

Title: On the stationary compressible Navier-Stokes equations

Video and Slides

6. May 14th, 2020:

Poster of the 6th PDE seminar

Speaker: In-Jee Jeong, Korea Institute for Advanced Study (KIAS)

Title: Well-posedness for the axisymmetric Euler equations


Speaker: Alexandru Lonescu, Princeton University

Title: Nonlinear stability of vortices and shear flows

Slides and Video

Speaker: Theodore Drivas, Princeton University

Title: Quasisymmetric plasma equilibria with small forcing

7. May 21st, 2020:

Poster of the 7th PDE seminar

Speaker: Isabelle Gallagher, École normale supérieure

Title: From Newton to Boltzmann, fluctuations and large deviations

Slides and Video

Speaker: Maria Colombo, Ecole polytechnique fédérale de Lausanne (EPFL)

Title: Weak solutions of the Navier-Stokes equations may be smooth for a.e. time

Slides and Video

Speaker: Julian Fischer, Institute of Science and Technology Austria (IST Austria)

Title: Weak-strong uniqueness principles for interface evolution problems in fluid mechanics and geometry

8. May 28th, 2020:

Poster of the 8th PDE seminar

Speaker: Toan T. Nguyen, Penn State University

Title: Landau damping and Plasma echoes


Speaker: Pierre-Emmanuel Jabin, University of Maryland

Title: Large stochastic systems of interacting particles

Slides and Video

Speaker: Thomas Yizhao Hou, California Institute of Technology

Title: Recent Progress on Singularity Formation of 3D Euler Equations and Related Models

9. June 4th, 2020:

Poster of the 9th PDE seminar

Speaker: Michele Coti Zelati, Imperial College London

Title: Inviscid damping and enhanced dissipation in 2d fluids Slides and Video

Speaker: Thomas Alazard, École Normale Supérieure de Paris-Saclay

Title: Entropies of free surface flows in fluid dynamic

Speaker: Phan Thanh Nam, LMU Munich

Title: Derivation of the Bose-Einstein condensation for trapped bosons

Slides and Video

10. June 11th, 2020:

Poster of the 10th PDE seminar

Speaker: Zhifei Zhang, Peking university

Title: Transition threshold for the 3D Couette flow in a finite channel


Speaker: Clément Mouhot, University of Cambridge

Title: Unified approach to fluid approximation of linear kinetic equations with heavy tails

Speaker: Luis Silvestre, University of Chicago

Title: Regularity estimates for the Boltzmann equation without cutoff.

Slides and Video

11. June 18th, 2020:

Poster of the 11th PDE seminar

Speaker: Fabio Pusateri, University of Toronto

Title: Multilinear Harmonic analysis for nonlinear PDEs with potentials


Speaker: Max Engelstein, University of Minnesota

Title: An Epiperimetric Approach to Isolated Singularities

Slides and Video

Speaker: Benoit Pausader, Brown University

Title: Stability of the Minkowski space for the Einstein-Klein-Gordon system


12. June 25th, 2020:

Poster of the 12th PDE seminar

Speaker: Pierre Gilles Lemarié-Rieusset, Laboratoire de Mathématiques et Modélisation d'Évry

Title: On weak solutions of the Navier-Stokes equations with infinite energy

Slides and Video

Speaker: Robert M. Strain, University of Pennsylvania

Title: Global mild solutions of the Landau and non-cutoff Boltzmann equation

Slides and Video

Speaker: Sung-Jin Oh, University of California Berkeley

Title: On the Cauchy problem for the Hall magnetohydrodynamics


13. July 2nd 2020:

Poster of the 13th PDE seminar

Speaker: Massimiliano Berti, SISSA

Title: Long time dynamics of water waves

Slides and Video

Speaker: Nicolas Burq, Institut de Mathématiques d'Orsay

Title: Control for wave equations: revisiting the geometric control condition 30 years later


Speaker: Huy Nguyen, Brown University

Title: Proof of modulational instability of Stokes waves in deep water

Slides and Video

14. July 9th, 2020:

Poster of the 14th PDE seminar

Speaker: Xavier Tolsa, Autonomous University of Barcelona

Title: Unique continuation at the boundary for harmonic functions

Slides and Video

Speaker: Bogdan-Vasile Matioc, University of Regensburg

Title: The Muskat problem in subcritical Lp-Sobolev spaces

Slides and Video

Speaker: Philip Isett, University of Texas at Austin

Title: A Proof of Onsager’s Conjecture for the Incompressible Euler Equations


15. July 16th, 2020:

Poster of the 15th PDE seminar

Speaker: Omar Lazar, University of Seville University of SevilleUniversity of Seville

Title: On the Muskat problem with data in critical Sobolev spaces.

Slides and Video

Speaker: Aaron Naber, Northwestern University

Title: Ricci Curvature and Differential Harnack Inequalities on Path Space.

Slides and Video

Speaker: Connor Mooney, University of California, Irvine

Title: The Bernstein problem for elliptic functionals

Slides and Video

16. July 23rd, 2020:

Poster of the 16th PDE seminar

Speaker: Eduard Feireisl, Czech Technical University, Prague

Title: Ergodic theory for energetically open compressible fluid flows

Slides and Video

Speaker: Shuang Miao, Wuhan University

Title: On the free boundary hard phase fluid in Minkowski spacetime


Speaker: Steve Shkoller, University of California, Davis

Title: Shock Formation for the 3d Euler Equations

17. July 30th, 2020

Poster of the 17th PDE seminar

Speaker: Tuomo Kuusi, University of Helsinki

Title: Higher-order linearization and regularity in nonlinear homogenization


Speaker: Yao Yao, Georgia Institute of Technology

Title: Aggregation-diffusion equation: symmetry, uniqueness and non-uniqueness of steady states

Slides and Video

Speaker: Javier Gómez-Serrano, Princeton University

Title: Symmetry in stationary and uniformly rotating solutions of active scalars

Slides and Video

18. August 20th, 2020

Poster of the 18th PDE seminar

Speaker: Chanwoo Kim, University of Wisconsin-Madison

Title: Incompressible Euler limit from Boltzmann equation with Boundary

Speaker: Daniel Tataru, University of California Berkeley

Title: Compressible Euler with physical vacuum: an Eulerian approach


19. August 27th, 2020

Poster of the 19th PDE seminar

Speaker: Sylvia Serfaty, Courant Institute of Mathematical Sciences

Title: Mean-Field limits for Coulomb-type dynamics


Speaker: Mihaela Ifrim, University of Wisconsin-Madison ( CANCELLED)

Title: Two dimensional gravity waves at low regularity I: Energy estimates

20. September 3rd, 2020

Poster of the 20th PDE seminar

Speaker: Alex Blumenthal, Georgia Institute of Technology.

Title: Lagrangian Chaos, Scalar Mixing, and passive scalar turbulence for models in fluid mechanics

Slides and Video

Speaker: David Lannes, Institut de Mathématiques de Bordeaux

Title: Floating objects and dispersive perturbations of hyperbolic initial boundary value problems


21. September 10th, 2020

Poster of the 20th PDE seminar

Speaker: Luis Vega, BCAM - Basque Center for Applied Mathematics

Title: The Vortex Filament Equation, the Talbot effect, and non-circular jets

Slides and Video

Speaker: Joachim Krieger, Ecole polytechnique fédérale de Lausanne (EPFL)

Title: Stability of critical Wave Maps blow up beyond the co-rotational setting

Slides and Video

22. September 17th, 2020

Poster of the 22nd PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Frédéric Rousset, Université Paris-Sud

Title: Dispersion and asymptotic stability of equilibria for Vlasov equations


  • 10 pm Beijing Time (GMT+8)

Speaker: Pierre Germain, Courant Institute of Mathematical Sciences

Title: Vortex filament solutions for the Navier-Stokes equations

Slides and Video

23. September 24th, 2020

Poster of the 23rd PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Helge Holden, Norwegian University of Science and Technology

Title: A Lipschitz metric for the Camassa-Holm equation

  • 10 pm Beijing Time (GMT+8)

Speaker: Benjamin Dodson, Johns Hopkins University

Title: Global well-posedness for the cubic NLS with data in a critical Sobolev space


24. October 1st, 2020

Poster of the 24th PDE seminar

  • 10 pm Beijing Time (GMT+8)

Speaker: Hong Wang, Institute for Advanced Study, Princeton

Title: Survey on decoupling

  • 11 pm Beijing Time (GMT+8)

Speaker: Eugenia Malinnikova, Stanford University

Title: On Yau’s conjecture for Euclidean domains


25. October 8th, 2020

Poster of the 25th PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Andrea R. Nahmod, University of Massachusetts

Title: Invariant Gibbs measures and global strong solutions for periodic 2D nonlinear Schrödinger equations.


  • 10 pm Beijing Time (GMT+8)

Speaker: Jean-marc DELORT, Université Paris 13

Title: Long time dispersive estimates for perturbations of a kink solution of one dimensional cubic wave equations.

Slides and Video

26. October 15th, 2020

Poster of the 26th PDE seminar

  • 10 pm Beijing Time (GMT+8)

Speaker: Carlos Kenig, University of Chicago

Title: Asymptotic simplification for solutions of the energy critical nonlinear wave equation

Slides and Video

27. October 22nd, 2020

Poster of the 27th PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Grenier Emmanuel, ENS de Lyon

Title: On the instability of viscous boundary layers

  • 10 pm Beijing Time (GMT+8)

Speaker: Patrick Gérard, Université Paris-Saclay

Title: Integrability of the Benjamin--Ono equation and applications


28. October 29th, 2020

Poster of the 28th PDE seminar

  • 11 pm Beijing Time (GMT+8)

Speaker: Monica Visan, University of California, Los Angeles.

Title: Recent progress on well-posedness for integrable PDE


29. November 5th, 2020

Poster of the 29th PDE seminar

  • 10 pm Beijing Time (GMT+8)

Speaker: Alessio Figalli, ETH Zurich

Title: Stable solutions to semilinear elliptic equations

30. November 12th, 2020

Poster of the 30th PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Renjun Duan, The Chinese University of Hong Kong

Title: The Boltzmann equation for uniform shear flow


31. November 19th, 2020

Poster of the 31st PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Frank Merle, Université de Cergy Pontoise and IHES

Title: On the implosion of a three dimensional compressible fluid

32. December 3rd, 2020

Poster of the 32nd PDE seminar

  • 10 pm Beijing Time (GMT+8)

Speaker: Peter Constantin, Princeton University

Title: On the Nernst-Planck-Navier-Stokes Equations

33. December 17th, 2020

Poster of the 33rd PDE seminar

  • 10 pm Beijing Time (GMT+8)

Speaker: Andreas Seeger, University of Wisconsin-Madison

Title: Lp improving bounds for spherical maximal operators


34. January 7th, 2021

Poster of the 34th PDE seminar

  • 10 pm Beijing Time (GMT+8)

Speaker: Jose A. Carrillo, University of Oxford

Title: The Landau equation: Particle Methods & Gradient Flow Structure

35. January 14th, 2021

Poster of the 35th PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Francisco Gancedo, University of Seville

Title: Two global-in-time results for Muskat

Slides and Video

36. January 21st, 2021

Poster of the 36th PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Stephen Cameron, Courant Institute, NYU, New York.

Title: Global Existence for the 3D Muskat problem

Slides and Video

37. March 11th, 2021

Poster of the 37th PDE seminar

  • 10 pm Beijing Time (GMT+8)

Speaker: Ruixiang Zhang, IAS, Princeton

Title: Local smoothing for the wave equation in 2+1 dimensions

Slides and Video

38. March 25th, 2021

Poster of the 38th PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: Anna L. Mazzucato, Penn State University

Title: Mixing, irregular transport, and enhanced dissipation


39. April 8th, 2021

Poster of the 39th PDE seminar

  • 9 pm Beijing Time (GMT+8)

Speaker: David M. Ambrose, Drexel University

Title: Global existence results for the 2D Kuramoto-Sivashinsky equation

Slides and Video

40. May 6th, 2021

Poster of the 40th PDE seminar

  • 10pm Beijing Time (GMT+8)

Speaker: YanYan Li, Rutgers University.

Title: Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space

41. May 13th, 2021

Poster of the 41st PDE seminar

  • 9pm Beijing Time (GMT+8)

Speaker: Ian Tice, Carnegie Mellon University.

Title: Traveling wave solutions to the free boundary Navier-Stokes equations

Slides and Video