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

  • Yongting Huang

    Department of Mathematics, City University of Hong Kong, Hong Kong, China
  • Tao Luo

    Department of Mathematics, City University of Hong Kong, Hong Kong, China
Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium cover

A subscription is required to access this article.

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 -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.

Cite this article

Yongting Huang, Tao Luo, Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium. Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), no. 1, pp. 225–238

DOI 10.1016/J.ANIHPC.2019.02.005