An energy balance climate model with hysteresis
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.contributor.author | Hetzer, G. | |
| dc.contributor.author | Tello del Castillo, Lourdes | |
| dc.date.accessioned | 2023-06-20T09:35:02Z | |
| dc.date.available | 2023-06-20T09:35:02Z | |
| dc.date.issued | 2006-05-01 | |
| dc.description.abstract | Energy balance climate models of Budyko type lead to reaction-diffusion equations with slow diffusion and memory on the 2-sphere. The reaction part exhibits a jump discontinuity (at the snow line). Here we introduce a Babuska-Duhem hysteresis in order to account for a frequent repetition of sudden and fast warming followed by much slower cooling as observed from paleoclimate proxy data. Existence of global solutions and of a trajectory attractor will be established for the resulting system of a parabolic differential inclusion and an ode. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Department of Applied Mathematics of Complutense University of Madrid | |
| dc.description.sponsorship | Secretaria de Estado de Educación y Universidades, Spain. | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15405 | |
| dc.identifier.doi | 10.1016/j.na.2005.07.038 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0362546X05007352 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49964 | |
| dc.issue.number | 9 | |
| dc.journal.title | Nonlinear analysis : theory, methods and applications | |
| dc.language.iso | eng | |
| dc.page.final | 2074 | |
| dc.page.initial | 2053 | |
| dc.publisher | Pergamon-Elsevier Science | |
| dc.relation.projectID | SAB2002-0020 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.91 | |
| dc.subject.keyword | equations | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | An energy balance climate model with hysteresis | |
| dc.type | journal article | |
| dc.volume.number | 64 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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