The isothermal limit for the compressible Euler equations with damping-Reference-Cited by-同舟云学术

The isothermal limit for the compressible Euler equations with damping

Published:2022 Issue:12 Volume:27 Page:7671
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Chauleur Quentin¹

Affiliation:

1. Univ Rennes, CNRS, IRMAR - UMR 6625, F-35000 Rennes, France

Abstract

<p style='text-indent:20px;'>We consider the isothermal Euler system with damping. We explicitly compute the propagation and the behavior of Gaussian initial data, then we show the weak <inline-formula><tex-math id="M1">\begin{document}$ L^1 $\end{document}</tex-math></inline-formula> convergence of the density as well as the asymptotic behavior of its first and second moments. We also rigorously show the convergence of Barenblatt solutions towards a limit Gaussian profile in the isothermal limit <inline-formula><tex-math id="M2">\begin{document}$ \gamma \rightarrow 1 $\end{document}</tex-math></inline-formula>.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference21 articles.

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