Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system

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This paper is dedicated to the construction of a pseudo-norm for which small shock profiles of the barotropic Navier-Stokes equations have a contraction property. This contraction property holds in the class of any large solutions to the barotropic Navier-Stokes equations. 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 related to the notion of a-contraction first introduced by the authors in the hyperbolic case.
Publisher
EUROPEAN MATHEMATICAL SOC
Issue Date
2021-03
Language
English
Article Type
Article
Citation

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, v.23, no.2, pp.585 - 638

ISSN
1435-9855
DOI
10.4171/JEMS/1018
URI
http://hdl.handle.net/10203/281773
Appears in Collection
MA-Journal Papers(저널논문)
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