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Home » Euler/Navier Stokes (Part 1): Convergence of the vanishing viscosity limit for one-dimensional compressible fluids

Seminar

Euler/Navier Stokes (Part 1): Convergence of the vanishing viscosity limit for one-dimensional compressible fluids May 13, 2021 (08:00 AM PDT - 09:00 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Matthew Schrecker (King's College London)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

 

 

Video

Convergence of the Vanishing Viscosity Limit for One-Dimensional Compressible Fluids

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: The compressible Euler equations, modelling the flow of an inviscid gas, are well known to exhibit a number of complex phenomena that make the questions of well- or ill-posedness difficult to resolve in general. In particular, the presence and formation of shock waves in solutions to the Euler equations makes the question of which class of functions to look for solutions a subtle one. One conjectured class for possible well-posedness is that of the vanishing viscosity limit from the compressible Navier-Stokes equations. In this talk, I will present recent work (joint with Simon Schulz) on the existence of solutions to the 1D isentropic Euler equations in this class of solutions and draw connections to several other related works.

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Convergence of the Vanishing Viscosity Limit for One-Dimensional Compressible Fluids