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PDE Seminar via Zoom 2022

Updated: Oct 29, 2022


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




63. November 3rd, 2022, At 9:00 pm-10:00 pm Beijing time


Speaker: Mikaela Iacobelli(ETH Zurich)


Title: Stability and singular limits in plasma physics


Abstract: In this talk, we will present two kinetic models that are used to describe the evolution of charged particles in plasmas: the Vlasov-Poisson system and the Vlasov-Poisson system with massless electrons. These systems model respectively the evolution of electrons, and ions in a plasma. We will discuss the well-posedness of these systems, the stability of solutions, and their behavior under singular limits. Finally, we will introduce a new class of Wasserstein-type distances specifically designed to tackle stability questions for kinetic equations.



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









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

Slides


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

Slides


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

Slides


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

Slides


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

Slides


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

Sildes


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

Slides


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

Slides



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

Slides



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

Slides


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

Slides



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

Slides


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

Slides


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

Slides



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

Slides


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

Slides



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

Slides

  • 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

Video



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

Slides



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.

Slides

  • 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

Slides



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

Slides



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

Video



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

Slides



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