Abstract: An interaction between diffusion and absorption shows several interesting phenomena in the dynamical behavior of the flow through an absorbing porous medium. In the case where the diffusion is active rather than the absorption, the region which is occupied by the flow never split. In the opposite case, the flow becomes extinct in a finite time and the region, while initially connected, splits into multiple connected components as time increases. Thus support splitting phenomena appear. Moreover, the complicated be- havior of the support is given by the numerical computation; that is, after support splitting phenomena appear, it becomes connected, and thereafter the support splitting phenomena appear again. In this paper such behavior is investigated from numerical and mathematical points of view.
Publication Year: 2004
Publication Date: 2004-01-01
Language: en
Type: article
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