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PDE Seminar via Zoom 2022

Updated: Apr 4


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.


The Seminar's purpose is to promote and influence more cooperation, understanding, and collaboration among scientists working in Partial Differential Equations.

Due to the coronavirus pandemic and in a time of social distancing, PDE Seminar via Zoom aims to provide such a venue for the PDE community, and keep as many researchers as possible stay connected.


Upcoming Talk




  • April 7th, 2022


Speaker: Konstantina Trivisa, University of Maryland


Title: Invariant measures for the stochastic Navier-Stokes Equations for compressible flows

and the problem of turbulence



Abstract: In this talk I'll present results on the long-time behavior of solutions to a stochastically forced Navier-Stokes system, describing the motion of a compressible viscous fluid. In the one dimensional case, the existence of an invariant measure for the Markov process generated by strong solutions was established in collaboration with Michele Coti-Zelati and Nathan Glatt-Holtz. In that work, we overcome the difficulties of working with non-Feller Markov semigroups on non-complete metric spaces by generalizing the classical Krylov-Bogoliubov method, and by providing suitable polynomial and exponential moment bounds on the solution, together with pathwise estimates. The talk will conclude with a discussion on some recent developments on the multi-dimensional case for related models.






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

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

Slides



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



42. May 20th, 2021

Poster of the 42nd PDE seminar

  • 9pm Beijing Time (GMT+8)

Speaker: Zaher Hani, University of Michigan.

Title: Full derivation of the wave kinetic equation

Video and Slides



43. October 28th, 2021

Poster of the 43rd PDE seminar

  • 9pm Beijing Time (GMT+8)

Speaker: Matthew Rosenzweig, MIT

Title: Global solutions of aggregation equations and other flows with random diffusion

Video and Slides



44. November 04th, 2021

Poster of the 44th PDE seminar

  • 9pm Beijing Time (GMT+8)

Speaker: Jeremy Louis Marzuola, University of North Carolina at Chapel Hill

Title: On 4th order nonlinear thin-film like PDEs describing crystal surface evolution

Video and Slides



45. November 11th, 2021

Poster of the 45th PDE seminar

  • 10pm Beijing Time (GMT+8)

Speaker: Luca Spolaor, UC San Diego

Title: (Quasi-)conformal methods in two-dimensional free boundary problems

Video and Slides



46. November 18th, 2021

Poster of the 46th PDE seminar

  • 9pm Beijing Time (GMT+8)

Speaker: Giuseppe Mingione, University of Parma

Title: Perturbations beyond Schauder

Video and Slides



47. December 2nd, 2021

Poster of the 47th PDE seminar


Speaker: Helena J Nussenzveig Lopes, Universidade Federal do Rio de Janeiro

Title: 2D Navier-Stokes equations on a bounded domain with holes and Navier friction boundary conditions

Video and Slides



48. December 16th, 2021

Poster of the 48th PDE seminar


Speaker: Minh Binh Tran, Southern Methodist University

Title: Some Recent Results On Wave Turbulence: Derivation, Analysis, Numerics and Physical Application


49. January 13th, 2022

Poster of the 49th PDE seminar

Speaker: Giovanni Leoni, Carnegie Mellon University


Title: On Hardy-type inequalities in fractional Sobolev spaces

Video


50. January 20th, 2022

Poster of the 50th PDE seminar


Speaker: Manuel Del Pino, University of Bath


Title: Dynamics of concentrated vorticities in 2d and 3d Euler flows


Video and