# PDE Seminar via Zoom

Updated: 5 days ago

**Organizer:** Quoc-Hung Nguyen, Institute of Mathematical Sciences, ShanghaiTech University, Shanghai, China.

### 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.

**How to use Zoom:**

The seminar will take place over Zoom. Please download and setup Zoom via link: https://zoom.us/download

Please log in with your real name.

About one day before the seminar, the link, meeting ID and password to join the Zoom meeting will be attached here.

Audiences can use "

**Raise Hand"**on the**chat**window

**Program:** (You can see titles and abstracts in __this pdf file__ )

__37. March 11th, 2021__

*10 pm Beijing Time (GMT+8)*

**Speaker:** * Ruixiang Zhang* , IAS, Princeton

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

**Abstract**: Sogge's local smoothing conjecture for the wave equation predicts that the local L^p space-time estimate gains a fractional derivative of order almost 1/p compared to the fixed time L^p estimates, when p>2n/(n-1). Jointly with Larry Guth and Hong Wang, we recently proved the conjecture in R^{2+1}. I will talk about our proof and explain several important ingredients such as induction on scales and an incidence type theorem.

__38. March 25th, 2021__

*9 pm Beijing Time (GMT+8)*

**Speaker:** __Anna L. Mazzucato__, Penn State University

**Title: **Mixing, irregular transport, and enhanced dissipation

**Abstract**: I will discuss transport of passive scalars by incompressible flows and measures of optimal mixing and stirring. I will give two applications , one is an example of complete loss of regularity for solution to linear transport equations, the others is a global existence result for the advective Kuramoto-Sivashinsky equation in 2 space dimensions.

__39. April 8th, 2021__

*10 pm Beijing Time (GMT+8)*

**Speaker: **** David M. Ambrose**, Drexel University

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

**Abstract**: The Kuramoto-Sivashinsky equation is a model for the motion of flame fronts. In one spatial dimension much is understood, including that solutions exist for all time. Analagous results in two dimensions are much more limited; most results in 2D assume that the domain is "thin," or approximately one-dimensional. We will give an overview of the results in one dimension and of anisotropic results in two dimensions. We will then show some global existence theorems for small data in two dimensions without making use of any anisotropy. This includes joint work with Anna Mazzucato.

__40. May 6th, 2021__

*10 pm Beijing Time (GMT+8)*

**Speaker:** __YanYan Li__, Rutgers University.

__41. May 13th, 2021__

*9 pm Beijing Time (GMT+8)*

**Speaker:** __Ian Tice__, Carnegie Mellon University.

__41. May 20th, 2021__

*9 pm Beijing Time (GMT+8)*

**Speaker:** __Zaher Hani__, University of Michigan.

__41. May 27th, 2021__

*9 pm Beijing Time (GMT+8)*

**Speaker:**

__41. June 3rd, 2021__

*9 pm Beijing Time (GMT+8)*

**Speaker:** __Yan Guo__, Brown University.

__---------------------------------------------------------------------------------------------------------------------------__

**Past talks: **

**Past talks:**

__1. April 9th, 2020__

**Speaker: **Elia Brué, SNS, PISA.

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

__Video link__ 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 link__ and __Slides__

__2. April 16th, 2020__

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

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

__Video link__ and __Slides__

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

__Video link__ and __Slides__

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

__Video link__ 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 link__ and __Slides__

**Speaker: ** Charles Collot__,__ Courant institute of mathematical Sciences
**Title:*** On the derivation of the homogeneous kinetic wave equation*
__Video link__ and __Slides__

**Speaker:** Jacob Bedrossian__,__ University of Maryland

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

__Video link__ 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 Link__ and __Slides__

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

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

__Video Link__ and __Slides__

__5. May 7th, 2020:__ __Poster____ of the 5th PDE seminar__

**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 Link__ 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 Ionescu, Princeton University

**Title:** Nonlinear stability of vortices and shear flows

__Slides__ and __Video link__

**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

**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:__ __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 Link__

* ***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 Link__

**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 Link__

__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 Link__

__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 Link__

**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

__Slides____ and ____Video Link__

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

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

__Slides__ and __Video Link__

**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 Link__

**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 link __

__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 Link__

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

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

__Slides____ and ____Video Link__

**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 Link__

**Speaker: ** Aaron Naber, Northwestern University

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

__Slides__ and __Video Link __

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

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

__Slides__ and __Video Link __

__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 Link__

**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 Link__

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

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

__Slides__ and __Video Link__

__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