PDE Seminar via Zoom
Updated: 11 hours ago
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Meeting ID: 987 4689 1325
Passcode: 693414Organizer: 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.
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Program: (You can see titles and abstracts in this pdf file )
42. May 20th, 2021
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Meeting ID: 987 4689 1325
Passcode: 6934149 pm Beijing Time (GMT+8)
Speaker: Zaher Hani, University of Michigan.
Title: Full derivation of the wave kinetic equation
Abstract: We will discuss a recent work, in collaboration with Yu Deng (USC), in which we provide the rigorous derivation of the wave kinetic equation from the cubic nonlinear Schrödinger (NLS) equation at the kinetic timescale, under a particular scaling law that describes the limiting process. This solves a main conjecture in the theory of wave turbulence, i.e. the kinetic theory of nonlinear wave systems. Our result is the wave analog of Lanford's theorem on the derivation of the Boltzmann kinetic equation from particle systems, where in both cases one takes the thermodynamic limit as the size of the system diverges to infinity, and as the interaction strength of waves or radius of particles vanishes to 0, according to some specified scaling law. This is the first result of its kind for any nonlinear wave system.
43. May 27th, 2021
9 pm Beijing Time (GMT+8)
Speaker: Luca Spolaor, University of California San Diego
44. June 3rd, 2021
9 pm Beijing Time (GMT+8)
Speaker: Yan Guo, Brown University.
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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 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 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
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
10 pm 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 40th PDE seminar
9 pm Beijing Time (GMT+8)
Speaker: Ian Tice, Carnegie Mellon University.
Title: Traveling wave solutions to the free boundary Navier-Stokes equations