The Compressible Navier-Stokes Equations with Weak Viscosity and Heat Conductivity

Wan Zhang, Hang Yang, Liping Liu
2019 American Journal of Computational Mathematics  
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
more » ... full compressible Navier-Stokes system with weak viscosity and heat conductivity in a general bounded domain.
doi:10.4236/ajcm.2019.92003 fatcat:een5f22dhvhpnovvy5nb3j7jxi