Existence result for degenerate cross-diffusion system with application to seawater intrusionReport as inadecuate




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1 CERMICS - Centre d-Enseignement et de Recherche en Mathématiques et Calcul Scientifique 2 Mathematics Department

Abstract : In this paper, we study degenerate parabolic system, which are strongly coupled. We prove general existence result, but the uniqueness remains an open question. Our proof of existence is based on a crucial entropy estimate which both control the gradient of the solution and the non-negativity of the solution. Our system is of porous medium type and our method applies to models in seawater intrusion.





Author: Jana Alkhayal - Samar Issa - Mustapha Jazar - Régis Monneau -

Source: https://hal.archives-ouvertes.fr/



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