On a nonlinear parabolic problem arising in some models related to turbulent flows
This paper studies the Cauchy-Dirichlet problem associated with the equation b(u)t - div (\del u - K (b(u)) e\p-2 (del u - K (b(u))e)) + g (x, u) = f (t, x). This problem arises in the study of some turbulent regimes: flows of incompressible turbulent fluids through porous media and gases flowing in...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1994 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | francés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57454 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57454 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.518.28 Orlicz-sobolev spaces elliptic-equations differential-equations stabilization stability diffusion existence support systems nonlinear parabolic equations degenerate parabolic and elliptic equations existence and uniqueness of bounded weak solutions Funciones (Matemáticas) 1202 Análisis y Análisis Funcional |
| Sumario: | This paper studies the Cauchy-Dirichlet problem associated with the equation b(u)t - div (\del u - K (b(u)) e\p-2 (del u - K (b(u))e)) + g (x, u) = f (t, x). This problem arises in the study of some turbulent regimes: flows of incompressible turbulent fluids through porous media and gases flowing in pipes of uniform cross sectional areas. The paper focuses on the class of bounded weak solutions, and shows (under suitable assumptions) their stabilization, as t --> infinity, to the set of bounded weak solutions of the associated stationary problem. The existence and comparison properties (implying uniqueness) of such solutions are also investigated. |
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