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Workshop

[Moved Online] Introductory Workshop: Mathematical problems in fluid dynamics January 25, 2021 - February 05, 2021
Registration Deadline: February 05, 2021 8 months ago
To apply for Funding you must register by: October 25, 2020 11 months ago
Parent Program:
Location: MSRI: Online/Virtual
Organizers Nicolas Burq (Université de Paris XI), Anne-Laure Dalibard (Université de Paris VI (Pierre et Marie Curie)), Jean Marc Delort (Université de Paris XIII (Paris-Nord)), LEAD Mihaela Ifrim (University of Wisconsin-Madison), Irena Lasiecka (University of Memphis), Vladimir Sverak (University of Minnesota Twin Cities)
Speaker(s)

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Description
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This workshop will be held online.  The Zoom link will be provided at a later time. You must register for the workshop to receive the password.  The workshop is held in Pacific Standard Time. The workshop will address topics in the PDE analysis of the basic equations of the incompressible fluid dynamics (the Euler equations for inviscid flows, the Navier Stokes equations for viscous flows), interface problems (water waves), and other related equations. Open problems and connections to related branches of mathematics will be discussed, including the phenomena of turbulence and the zero viscosity limit. Both theoretical and numerical aspects of these topics will be considered. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • water waves

  • incompressible Euler equations

  • fluid flows

  • viscous fluids

  • free boundaries

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Jan 25, 2021
Monday
08:00 AM - 09:00 AM
  Transport equations and ODEs with nonsmooth coefficients (Part 1)
Camillo De Lellis (Institute for Advanced Study)
09:00 AM - 09:30 AM
  Tea Break
09:30 AM - 10:30 AM
  Transport equations and ODEs with nonsmooth coefficients (Part 2)
Camillo De Lellis (Institute for Advanced Study)
10:30 AM - 11:00 AM
  Tea Break
11:00 AM - 12:00 PM
  Lagrangian chaos, almost sure exponential mixing, and passive scalar turbulence
Jacob Bedrossian (University of Maryland)
Jan 26, 2021
Tuesday
08:30 AM - 09:30 AM
  Regularity of the solutions of the Navier-Stokes equations (Part 1)
Jean-Yves Chemin (Sorbonne Université)
09:30 AM - 10:00 AM
  Tea Break
10:00 AM - 11:00 AM
  Regularity of the solutions of the Navier-Stokes equations (Part 2)
Jean-Yves Chemin (Sorbonne Université)
Jan 28, 2021
Thursday
08:00 AM - 09:00 AM
  Transport equations and ODEs with nonsmooth coefficients (Part 3)
Camillo De Lellis (Institute for Advanced Study)
09:00 AM - 09:30 AM
  Tea Break
09:30 AM - 10:30 AM
  Non-conservative $H^{1/2-}$ weak solutions of the incompressible 3D Euler equations
Vlad Vicol (New York University, Courant Institute)
10:30 AM - 11:00 AM
  Tea Break
11:00 AM - 12:00 PM
  Singularity formation in the 3D Euler equation
Tarek Elgindi (Duke University)
Jan 29, 2021
Friday
08:30 AM - 09:30 AM
  Regularity of the solutions of the Navier-Stokes equations (Part 3)
Jean-Yves Chemin (Sorbonne Université)
09:30 AM - 10:00 AM
  Tea Break
10:00 AM - 11:00 AM
  Vortex filament dynamics
Valeria Banica (Sorbonne University, Laboratoire Jacques-Louis Lions)
Feb 01, 2021
Monday
08:00 AM - 09:00 AM
  An introduction to water waves (Part 1)
Daniel Tataru (University of California, Berkeley)
09:00 AM - 09:30 AM
  Tea Break
09:30 AM - 10:30 AM
  An introduction to water waves (Part 2)
Daniel Tataru (University of California, Berkeley)
10:30 AM - 11:00 AM
  Tea Break
11:00 AM - 12:00 PM
  On the free boundary hard phase fluid in Minkowski spacetime
Sijue Wu (University of Michigan)
Feb 02, 2021
Tuesday
08:30 AM - 09:30 AM
  A Numerical Study of Quasi-Periodic Water Waves (Part 1)
Jon Wilkening (University of California, Berkeley)
09:30 AM - 10:00 AM
  Tea Break
10:00 AM - 11:00 AM
  A Numerical Study of Quasi-Periodic Water Waves (Part 2)
Jon Wilkening (University of California, Berkeley)
Feb 04, 2021
Thursday
08:30 AM - 09:30 AM
  An introduction to water waves (Part 3)
Daniel Tataru (University of California, Berkeley)
09:30 AM - 10:00 AM
  Tea Break
10:00 AM - 11:00 AM
  Potential Singularity Formation of the 3D Euler Equations and Related Models
Thomas Hou (California Institute of Technology)
Feb 05, 2021
Friday
08:30 AM - 09:30 AM
  Wave-Structure interactions
David Lannes (Institut de Mathématiques de Bordeaux; Centre National de la Recherche Scientifique (CNRS))
09:30 AM - 10:00 AM
  Tea Break
10:00 AM - 11:00 AM
  Introduction to numerics for nonlinear Schrödinger
Katharina Schratz (Sorbonne University)