SUPPORT SPLITTING PHENOMENA OF THE SOLUTION TO THE POROUS MEDIA EQUATION WITH ABSORPTION

摘要

The interaction between diffusion and absorption gives several interesting phe-nomena in the flow through porous media with some kind of evaporation effect. In particular, it can be observed from numerical computations that the efFect of strong absorption causes support splitting or non-splitting phenomena. The aim of this paper is to find some sufficient conditions under which such phenomena appear.