Boundary effects and large time behavior for the system of compressible adiabatic flow through porous media (Q1348885)

This paper deals with certain initial-boundary value problems for the system of compressible adiabatic flow through porous media, and aims at studying the global existence and large time behaviour of the solutions and the related diffusive problems; in fact it is shown that the solutions behave time-asymptotically as those of related diffusive problems. The large time asymptotic states are given by the stationary solutions or similarity functions depending on the boundary conditions.