The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

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.

Keywords

• ideal barotropic gas
• porous medium
• boundary degeneracy
• 35k55
• 35k65
• 35r35