Stabilization of solutions of the filtration equation with absorption and non-linear flux |
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| Authors: | F. Andreu J. M. Mazon J. Toledo |
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| Affiliation: | 1. Departamento de Análisis Matemático, Universitat de València, Burjassot, 46100, València, Spain
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| Abstract: | This paper is primarily concerned with the large time behaviour of solutions of the initial boundary value problem $$begin{gathered} u_t = Delta phi (u) - varphi (x,u)inOmega times (0,infty ) hfill - frac{{partial phi (u)}}{{partial eta }} in beta (u)onpartial Omega times (0,infty ) hfill u(x,0) = u_0 (x)inOmega . hfill end{gathered} $$ Problems of this sort arise in a number of areas of science; for instance, in models for gas or fluid flows in porous media and for the spread of certain biological populations. |
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