Regularity of viscous compressible real heat conductive gas with density-dependent viscosity in one dimension

Abstract

We are concerned with the regularity of viscous compressible real heat conductive gas with density-dependent viscosity for Dirichlet boundary problem. Using the interpolation inequality and the embedding theorem, we obtain some delicate inequalities which are crucial to lift the regularity of the solutions.

Keywords:

• higher order regularity
• density-dependent viscosity
• interpolation inequality