The nonlinear diffusion equation of the ideal barotropic gas through a porous medium
Huashui Zhan · Open Mathematics · 2017
Abstract The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of the solutions may be obtained without any boundary condition.