Pullback Attractors for 2D-Navier-Stokes Equations with Delays In Continuous and Sub-Linear Operators
We obtain a result of existence of solutions to the 2D-Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and only continuous. As a consequence of the continuity assumption the uniqueness of solutions does not hold in general. We use then the theory of multi-va...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/25939 |
| Acceso en línea: | http://hdl.handle.net/11441/25939 https://doi.org/10.3934/dcds.2010.26.989 |
| Access Level: | acceso abierto |
| Palabra clave: | Navier-Stokes equations delay terms pullback attractors tempered attractors |
| Sumario: | We obtain a result of existence of solutions to the 2D-Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and only continuous. As a consequence of the continuity assumption the uniqueness of solutions does not hold in general. We use then the theory of multi-valued dynamical system to establish the existence of attractors for our problem in several senses and establish relations among them. |
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