Artículo
Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems
Autor/es | Caraballo Garrido, Tomás
Langa Rosado, José Antonio Robinson, James C. |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 1998 |
Fecha de depósito | 2015-04-08 |
Publicado en |
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Resumen | 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 ... 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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