Mathematical Sciences Research Institute

Home » Mathematical problems in fluid dynamics


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 (Centre National de la Recherche Scientifique (CNRS); Institut de Mathématiques de Jussieu), Mihaela Ifrim (University of Wisconsin-Madison), Igor Kukavica (University of Southern California), David Lannes (Université de Bordeaux I; Centre National de la Recherche Scientifique (CNRS)), LEAD Daniel Tataru (University of California, Berkeley)
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.
Keywords and Mathematics Subject Classification (MSC)
  • geometry

  • Microlocal analysis

  • harmonic analysis

  • integrable systems

  • dispersive pde’s

  • fluid dynamics

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Logistics Program Logistics can be viewed by Members. If you are a program member then Login Here.
Programmatic Workshops
January 20, 2021 - January 22, 2021 Connections Workshop: Mathematical problems in fluid dynamics
January 25, 2021 - January 29, 2021 Introductory Workshop: Mathematical problems in fluid dynamics
April 12, 2021 - April 23, 2021 Recent Developments in Fluid Dynamics