Global well-posedness of non-heat conductive compressible Navier–Stokes equations in 1D
Global well-posedness of non-heat conductive compressible Navier–Stokes equations in 1D
In this paper, the initial-boundary value problem of the 1D full compressible Navier-Stokes equations with positive constant viscosity but with zero heat conductivity is considered. Global well-posedness is established for any $H^1$ initial data. The initial density is required to be nonnegative, which is not necessary to be uniformly away …