Artículo
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
Autor/es | Brzezniak, Zdzislaw
Caraballo Garrido, Tomás Langa Rosado, José Antonio Li, Yuhong Lukaszewicz, Grzegorz Real Anguas, José |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2013 |
Fecha de depósito | 2015-04-08 |
Publicado en |
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Resumen | We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a Poincar´e-like domain has a unique random attractor. One of the technical problems associated with ... We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a Poincar´e-like domain has a unique random attractor. One of the technical problems associated with the rough noise is overcomed by the use of the corresponding Cameron-Martin (or reproducing kernel Hilbert) space. Our results complement the result by Brze´zniak and Li who showed that the corresponding flow is asymptotically compact and also generalize Caraballo et al. who proved existence of a unique attractor for the time-dependent deterministic Navier-Stokes equations. |
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