Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential equation is perturbed by an ²¡small random term and certain hypotheses are satisfied, the upper semicontinuity of the random attractors is obtained as ² goes to zero. The resu...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23730 |
| Acceso en línea: | http://hdl.handle.net/11441/23730 https://doi.org/10.1080/03605309808821394 |
| Access Level: | acceso abierto |
| Palabra clave: | Rrandom attractors global attractors dynamical systems |
| Sumario: | The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential equation is perturbed by an ²¡small random term and certain hypotheses are satisfied, the upper semicontinuity of the random attractors is obtained as ² goes to zero. The results are applied to the Navier-Stokes equations and a problem of reaction-diffusion type, both perturbed by an additive white noise. |
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