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

    This work was supported by Japan Society for the Promotion of Science through Grant-in-Aid (No. 13440038) for Scientific Research (B).

    https://doi.org/10.1142/9789812794253_0128Cited by:0 (Source: Crossref)
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    Abstract:

    The interaction between diffusion and absorption gives several interesting phenomena 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.