Workshop on Recent developments in incompressible fluid dynamics
Organizers: Tristan Buckmaster, Camillo De Lellis, Vladimir Sverak and László Székelyhidi Jr.
Summary: The aim of the workshop was to bring together researchers working in incompressible fluid dynamics, with a special emphasis on the topics of existence and regularity of classical solutions, ill-posedness of weak solutions, analysis of potential singularities
**By invitation only for on campus viewing. All others please watched remotely via Zoom. Links can be found on the individual talks.
Confirmed speakers:
Stefano Bianchini (SISSA)
Yann Brenier (CNRS-Laboratoire de Mathematiques d'Orsay, Universite Paris-Saclay)
Jiajie Chen (Caltech)
Maria Colombo (EPFL)
Peter Constantin (Princeton University)
Sara Daneri (Gran Sasso Institute)
Tarek Elgindi (Duke University)
Javier Gomez-Serrano (Brown University/University of Barcelona)
Phil Isett (Univresity of Texas, Austin)
Juhi Jang (University of So California)
Stefano Modena (TU Darmstadt)
Steve Shkoller (University of Calinfornia, Davis)
Alexander Shnirelmann (Concordia University)
Vlad Vicol (New York University)
Sijue Wu (University Michigan)
Yao Yao (National University of Singapore)
Agenda:
Monday, April 04 2022
Topic: Singularity formation in incompressible fluids
Speaker: Tarek Elgindi - Duke University
Time/Room: 09:00 AM - 10:00 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-0
Topic: From the Monge transportation problem to Einstein's gravitation through Euler's Hydrodynamics
Speaker: Yann Brenier - CNRS-Laboratoire de Mathematiques d'Orsay, Universite Paris-Saclay
Time/Room: 10:30 AM - 11:30 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-1
Topic: A detailed characterization of the hypersurface of pre-shocks for the Euler equations
Speaker: Steve Shkoller - University of California, Davis
Time/Room: 02:00 PM - 03:00 PM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-2
Topic: Local Dissipation of Energy for Continuous Incompressible Euler Flows
Speaker: Philip Isett - University of Texas, Austin
Time/Room: 04:00 PM - 05:00 PM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-3
Tuesday, April 05 2022
Topic: Small scale formations in the incompressible porous media equation
Speaker: Yao Yao - National University of Singapore
Time/Room: 09:00 AM - 10:00 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-4
Topic: Properties of mixing BV vector fields
Speaker: Stefano Bianchini - SISSA
Time/Room: 10:30 AM - 11:30 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-5
Topic: Pressure and intermittency
Speaker: Peter Constantin - Princeton University
Time/Room: 02:00 PM - 03:00 PM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-6
Topic: D'Alembert Principle and weak solutions of the Euler equations
Speaker: Alexander Shnirelman - Concordia University
Time/Room: 04:00 PM - 05:00 PM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-7
Wednesday, April 06 2022
Topic: Generic global existence for the modified SQG equation
Speaker: Javier Gomez Serrano - Brown University/University of Barcelona
Time/Room: 09:00 AM - 10:00 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-8
Topic: On the sticky particle solutions to the pressureless Euler system in general dimension
Speaker: Sara Daneri - Gran Sasso Institute
Time: 10:30 AM - 11:30 AM
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-9
Thursday, April 07 2022
Topic: The quartic integrability and long time existence of steep water waves in 2D
Speaker: Sijue Wu - University of Michigan
Time/Room: 09:00 AM - 10:00 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-10
Topic: Self-similar gravitational collapse
Speaker: Juhi Jang - University of Southern California
Time/Room: 10:30 AM - 11:30 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-11
Topic: Non-Newtonian fluids and convex integration
Speaker: Stefano Modena - TU Darmstadt
Time/Room: 02:00 PM - 03:00 PM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-12
Topic: On the competition between advection and vortex stretching
Speaker: Jiajie Chen - California Institute of Technology
Time/Room: 04:00 PM - 05:00 PM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-13
Friday, April 08 2022
Topic: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
Speaker: Maria Colombo - EPFL
Time/Room: 09:00 AM - 10:00 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynamics-14
Topic: An Intermittent Onsager Theorem
Speaker: Vlad Vicol - New York University
Time/Room: 10:30 AM - 11:30 AM / Simonyi 101 and Remote Access
Abstract URL: https://www.ias.edu/math/events/workshop-recent-developments-incompressible-fluid-dynami