The Compressible Navier-Stokes Equations with Weak Viscosity and Heat Conductivity
Open Access
- 1 January 2019
- journal article
- Published by Scientific Research Publishing, Inc. in American Journal of Computational Mathematics
- Vol. 09 (02), 32-47
- https://doi.org/10.4236/ajcm.2019.92003
Abstract
It is well known that the full compressible Navier-Stokes equations with viscosity and heat conductivity coefficients of order of the Knudsen number ò>0 can be deduced from the Boltzmann equation via the Chapman-Enskog expansion. In this paper, we carry out the rigorous mathematical study of the compressible Navier-Stokes equation with the initial-boundary value problems. We construct the existence and most importantly obtain the higher regularities of the solutions of the full compressible Navier-Stokes system with weak viscosity and heat conductivity in a general bounded domain.Keywords
This publication has 1 reference indexed in Scilit:
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