# 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__

__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 ）

Title:

Abstract:

**Past Talks:**

**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*

**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*

**2. April 16th, 2020**

**Speaker:** Weiren Zhao, NYU Abu Dhabi

**Title:*** **Inviscid damping for a class of monotone shear flow*

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

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

**3. April 23rd, 2020**

**Speaker: ** Elio Marconi__,__ University of Basel

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

**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*

**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*

**Speaker: **Yu Deng, University of Southern California

**Title:** Derivation of the wave kinetic equation

**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*

**6. May 14th, 2020: **

**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

**Speaker: **Theodore Drivas, Princeton University

**Title:** Quasisymmetric plasma equilibria with small forcing

**7. May 21st, 2020: **

**Speaker:** Isabelle Gallagher__,__ École normale supérieure

**Title:** From Newton to Boltzmann, fluctuations and large deviations

**Speaker:** Maria Colombo__,__ *Ecole polytechnique fédérale de Lausanne (EPFL)*

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

**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: **

**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

**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: **

**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

**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.

**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

**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 semina____r__

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

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

** Speaker: **Robert M. Strain, University of Pennsylvania

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

**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

**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

**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

**Speaker:** Bogdan-Vasile Matioc, University of Regensburg

**Title:** The Muskat problem in subcritical Lp-Sobolev spaces

**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.

**Speaker: ** Aaron Naber, Northwestern University

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

**Speaker:** Connor Mooney, University of California, Irvine

**Title:** The Bernstein problem for elliptic functionals

**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

**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

**Speaker:** Javier Gómez-Serrano, Princeton University

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

**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

**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

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

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

**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

**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.

**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

**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

**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

**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

**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

**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

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