Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)225-238
Journal / PublicationAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume37
Issue number1
Online published3 Apr 2019
Publication statusPublished - Jan 2020

Abstract

We study the three-dimensional irrotational flow for gas dynamics in thermal nonequilibrium. The global existence and large time behavior of the classical solution to the Cauchy problem are established when the initial data are near the equilibrium state with an additional L1-norm bound. We mention that the uniform bound on derivatives of the entropy is obtained by using the a priori decay-in-time estimate on the velocity.

Research Area(s)

  • Gas dynamics in thermal nonequilibrium, Irrotational flow, Spectral analysis