On a stochastic parabolic PDE arising in Climatology
| dc.contributor.author | Díaz Díaz, Gregorio | |
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.date.accessioned | 2023-06-20T20:08:06Z | |
| dc.date.available | 2023-06-20T20:08:06Z | |
| dc.date.issued | 2002 | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES (Spain) | |
| dc.description.sponsorship | RTN of the European Commission | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/31164 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.officialurl | http://www.rac.es/ficheros/doc/00074.pdf | |
| dc.identifier.relatedurl | http://link.springer.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/59645 | |
| dc.issue.number | 1 | |
| dc.journal.title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | |
| dc.language.iso | eng | |
| dc.page.final | 128 | |
| dc.page.initial | 123 | |
| dc.publisher | Springer | |
| dc.relation.projectID | RN2000/0766 | |
| dc.relation.projectID | HPRN-CT-2002-00274 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 519.216 | |
| dc.subject.keyword | Energy balance climate models | |
| dc.subject.keyword | multivalued parabolic stochastic partial differential equations | |
| dc.subject.ucm | Procesos estocásticos | |
| dc.subject.unesco | 1208.08 Procesos Estocásticos | |
| dc.title | On a stochastic parabolic PDE arising in Climatology | |
| dc.type | journal article | |
| dc.volume.number | 96 | |
| dcterms.references | Díaz, J. I. (1993). Mathematical analysis of some diffusive energy balance climate models. In Mathematics, Climate and Environment, J.I. Díaz and J.L. Lions, eds., Masson, Paris, 28–56. Díaz, J.I. and Tello L. (1999). A nonlinear parabolic problem on a Riemannian manifold without boundary arising in Climatology, Collect. Math., 50, 19-51. Gyongy, I. and Pardoux, E. (1993). On quasi-linear stochastic partial differential equations, Probab. Theory Relat. Fields, 94, 413–425. Gyongy, I. and Pardoux, E. (1993). On the regularization effecto to space-time white noise on quasi-linear stochastic partial differential equations, Probab. Theory Relat. Fields, 97, 211–229. North, G. R. and Cahalan, R. F. (1982). Predictability in a solvable stochastic climate model, J. Atmos. Sci.,38, 504–513. Walsh, J. B. (1986). An introduction to stochastic partial differential equations. In Ecole d’eté de Probabilités de St. Flour XIV, P. L. Henneguin eds, Lect. Notes Math., 1180, 265–437, Springer, Berlin. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 4ec05576-7c32-4862-aaea-26a72bafee94 | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication.latestForDiscovery | 4ec05576-7c32-4862-aaea-26a72bafee94 |
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