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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Joint Pitt-CNA Colloquium
Alexis Vasseur
University of Texas at Austin
Title: Global solutions to the compressible Navier-Stokes equation with degenerate viscosity coefficients

Abstract: We prove the existence of global weak solutions for 2D and 3D compressible Navier-Stokes equations with degenerate viscosities. Those models include the viscous shallow water equations. The method is based on the Bresch and Desjardins entropy. The main contribution is to derive the Mellet-Vasseur type inequality for the weak solutions, even if it is not verified by the first level of approximation. This provides existence of global solutions in time, for the barotropic compressible Navier-Stokes equations, in three dimensional space, with large initial data, possibly vanishing on the vacuum. This is a joint work with Cheng Yu published in Inventiones Mathematicae.

Date: Friday, February 9, 2018
Time: 4:00 pm
Location: Thackery Hall 704
Submitted by:  Ian Tice
Note: Reception immediately following colloquium.