Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations
| Autor: | Caraballo Garrido, Tomás, Chueshov, Igor D., Langa Rosado, José Antonio |
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| Přispěvatelé: | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | idUS. Depósito de Investigación de la Universidad de Sevilla instname |
| Popis: | An abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations subjected to additive white noise is considered. The system models temperature dependent or heat generating wave phenomena in a continuum random medium. Under suitable conditions, the existence of an exponentially attracting random invariant manifold for the coupled system is proved, and as a consequence, the system can be reduced to a single stochastic hyperbolic equation with a modified nonlinear term. Finally it is also proved that this random manifold converges to its deterministic counterpart when the intensity of noise tends to zero. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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