paper

One-dimensional Compressible Navier-Stokes Equations with Temperature Dependent Transport Coefficients and Large Data

arXiv:1305.5755

Abstract

This paper is concerned with the global smooth non-vacuum solutions with large data to the Cauchy problem of the one-dimensional compressible Navier-Stokes equations with degenerate temperature dependent transport coefficients which satisfy conditions from the consideration in kinetic theory. A Nishida-Smoller type result is obtained.

36 pages