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Attractor for a Degenerate Nonlinear Diffusion Problem with Nonlinear Boundary Condition |
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| Authors: | F. Andreu J. M. Mazón F. Simondon J. Toledo |
| Affiliation: | (1) Departamento de Análisis Matemático, Universitat de València, 46100 Burjassot, Spain;(2) Université de Besançon et CNRS, Equipe de Mathématiques U.A. n. 040741, Faculté des Sciences, F-25030 Besançon, Cedex, France. simondon@math.univ-fcorate.fr |
| Abstract: | In this paper we prove the existence of a compact attractor in L ( ) for a degenerate nonlinear diffusion problem with nonlinear flux on the boundary. In order to formulate the equation as a dynamical system, some existence and uniqueness results for weak solutions are proved. |
| Keywords: | Nonlinear parabolic equations attractors asymptotic behavior flows in porous media diffusion of biological populations |
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