On a stochastic parabolic PDE arising in Climatology
We study the existence and uniqueness of solutions of a nonlinear stochastic pde proposed by R. North and R. F. Cahalan in 1982 for the modeling of non-deterministic variability (as, for instance, the volcano actions) in the framework of energy balance climate models. The more delicate point concern...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2002 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59645 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/59645 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 519.216 Energy balance climate models multivalued parabolic stochastic partial differential equations Procesos estocásticos 1208.08 Procesos Estocásticos |
| Resumo: | We study the existence and uniqueness of solutions of a nonlinear stochastic pde proposed by R. North and R. F. Cahalan in 1982 for the modeling of non-deterministic variability (as, for instance, the volcano actions) in the framework of energy balance climate models. The more delicate point concerns the uniqueness of solutions due to the presence of a multivalued graph β in the right hand side of the equation. In contrast with the deterministic case, it is possible to prove the uniqueness of a suitable weak solution associated to each given monotone (univalued and discontinuous) section b of the maximal monotone graph β. We get some stability results when the white noise converges to zero. |
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