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Incompressible limit for the free surface Navier-Stokes system

[Moved Online] Recent Developments in Fluid Dynamics April 12, 2021 - April 30, 2021

April 13, 2021 (11:00 AM PDT - 11:50 AM PDT)
Speaker(s): Frederic Rousset (Université Paris-Saclay)
Location: MSRI: Online/Virtual
  • fluid mechanics

  • asymptotic regime

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC

We consider the Navier-Stokes system for compressible fluids in a low Mach number regime. The aim is to get the existence of a strong solution on an interval of time independent of the Mach number. The main issue, which also occurs when studying the system in a fixed domain with a slip boundary condition, is the conjonction of the time oscillations and a boundary layer  in space.  Joint work with Changzhen Sun and N. Masmoudi.

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Incompressible Limit for the Free Surface Navier-Stokes Equations.mp4

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