%0 Journal Article
%T The Compressible Navier-Stokes Equations with Weak Viscosity and Heat Conductivity
%A Wan Zhang
%A Hang Yang
%A Liping Liu
%J American Journal of Computational Mathematics
%P 32-47
%@ 2161-1211
%D 2019
%I Scientific Research Publishing
%R 10.4236/ajcm.2019.92003
%X
It is well known that the full compressible Navier-Stokes equations with viscosity and heat conductivity coefficients of order of the Knudsen number ¨°>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.
%K Compressible Navier-Stokes System
%K Energy Estimate
%K the Helmholtz Decomposition
%K Elliptic Estimates
%K the Galerkin Method
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=92680