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SUPPORT SPLITTING, CONNECTING, AND RE-SPLITTING PHENOMENA IN THE FLOW THROUGH AN ABSORBING MEDIUM

Mathematical models for an interaction between diusion and absorption exhibit a wide variety of wave phenomena in the several elds. A representative model is given in the form of the description of the o w through an absorbing porous medium. The most striking property caused by the interaction is the occurrence of support re-splitting phenomena, where the support means the region occupied by the o w. In this paper the mathematical justication of such phenomena is stated.