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Professor Alexis Vasseur
University of Texas - Austin
Uniform stability of shocks with respect to the viscosity, for the
viscous shallow water equation.
March 2, 2018
2-3 PM, 646A PGH
Abstract
We will present in this talk the construction of a pseudo-norm,
for which small shock profiles of the viscous shallow water equation have
a contraction property. This contraction property holds in the class of
any large 1D weak solutions to the barotropic Navier-Stokes equation,
including the viscous shallow water equation. It implies a stability
condition which is independent of the strength of the viscosity. The proof
is based on the relative entropy method, and is reminiscent to the notion
of a-contraction first introduced by the authors in the hyperbolic case.
This is a joint work with Moon-Jin Kang.
David H. Wagner University of Houston
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Last modified: September 26 2017 - 05:42:22
