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Program

Mathematical problems in fluid dynamics January 19, 2021 to May 28, 2021
Organizers Thomas Alazard (Ecole Normale Supérieure Paris-Saclay; Centre National de la Recherche Scientifique (CNRS)), Hajer Bahouri (Laboratoire Jacques-Louis Lions; Centre National de la Recherche Scientifique (CNRS)), Mihaela Ifrim (University of Wisconsin-Madison), Igor Kukavica (University of Southern California), David Lannes (Institut de Mathématiques de Bordeaux; Centre National de la Recherche Scientifique (CNRS)), LEAD Daniel Tataru (University of California, Berkeley)
Description
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All scientific activities in this program will be available online so that those who can't attend in person are able to participate. If you are not a member of the program and would like to participate in any of the online activities, please fill out this REGISTRATION FORM. ONLINE SCIENTIFIC ACTIVITIES Connections Workshop: Mathematical problems in fluid dynamics Introductory Workshop: Mathematical problems in fluid dynamics Topical Workshop: Recent Developments in Fluid Dynamics Five Minute Talks Tuesday, February 9th from 8:00 - 12:00 Wednesday, February 10th from 8:00 - 12:00 Organizer: Annalaura Stingo Schedule of Talks SEMINARS (all times listed are Pacific Time) Free surface flows in fluid dynamics (UCB Chancellor Professor Course) Speaker: Thomas Alazard Monday, Wednesday, Friday 10:10-11:00am begining January 20 Model problems in fluid dynamics Organizer: Herbert Koch Mondays 8:30 - 9:30am begining the week of February 15th Water waves and other interface problems Organizers: Mihaela Ifrim, Daniel Tataru Tuesdays 8:00 - 9:00am and 9:30 -10:30am begining the week of February 15th Euler/Navier Stokes Organizer: Hajer Bahouri & Igor Kukavica Thursdays 8:00 - 9:00am and 9:30 - 10:30am begining the week of February 8th Note: On February 11 the talks will begin at 8:30 and 10:00. Applied fluids Organizer: David Lannes Fridays 8:30 - 9:30am begining the week of February 8th Career Development Seminar Organizers: Siddhant Agrawal & Thibault de Poyerre Fridays 11:00am - 12:00pm beginning the week of February 8th PROGRAM DESCRIPTION Fluid dynamics is one of the classical areas of partial differential equations, and has been the subject of extensive research over hundreds of years. It is perhaps one of the most challenging and exciting fields of scientific pursuit simply because of the complexity of the subject and the endless breadth of applications. The focus of the program is on incompressible fluids, where water is a primary example. The fundamental equations in this area are the well-known Euler equations for inviscid fluids, and the Navier-Stokes equations for the viscous fluids. Relating the two is the problem of the zero viscosity limit, and its connection to the phenomena of turbulence. Water waves, or more generally interface problems in fluids, represent another target area for the program. Both theoretical and numerical aspects will be considered. Bibliography
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • geometry

  • Microlocal analysis

  • harmonic analysis

  • integrable systems

  • dispersive pde’s

  • fluid dynamics

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Programmatic Workshops
January 20, 2021 - January 22, 2021 [Moved Online] Connections Workshop: Mathematical problems in fluid dynamics
January 25, 2021 - February 05, 2021 [Moved Online] Introductory Workshop: Mathematical problems in fluid dynamics
April 12, 2021 - April 23, 2021 [Moved Online] Recent Developments in Fluid Dynamics