On Cauchy problems of thermal non-equilibrium flows with small data

Academic Article

Abstract

  • © 2016, Sociedade Brasileira de Matemática. We study the equations describing the motion of a thermal non-equilibrium gas with one non-equilibriummode. In three space dimensions it is a hyperbolic system of six equations with a relaxation term. The dissipation mechanism induced by the relaxation is weak in the sense that Shizuta-Kawashima criterion is violated. However, there is a significant difference between one dimensional and three dimensional flows in how the criterion is violated. As a consequence, the velocity components in their solutionsbehave differentlywhile thermal dynamic variables share common properties.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Zeng Y
  • Start Page

  • 799
  • End Page

  • 809
  • Volume

  • 47
  • Issue

  • 2