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Descripción: The purpose of this paper is to carry out the mathematical and numerical analysis of a two-dimensional nonlinear parabolic problem on a compact Riemannian manifold without boundary, which arises in the energy balance for the averaged surface temperature. We use a possibly quasi-linear diffusion operator suggested by P. H. Stone in 1972. The modelling of the Budyko discontinuous coalbedo is formulated in terms of a bounded maximal monotone graph of R(2). The existence of global solutions is proved by applying a fixed point argument. Since the uniqueness of solutions may fail for the case of discontinuous coalbedo, we introduce the notion of non-degenerate solutions and show that the problem has at most one solution in this class of functions. The numerical analysis is carried out for the special case of a spherical Earth and uses quasi-uniform spherical triangles as finite elements. We study the existence, uniqueness and stability of the approximate solutions. We also show results of some long-term numerical experiments.
Autor(es): Díaz Díaz, Jesús Ildefonso - Bermejo, R. - Carpio, Jaime - Tello, J. Ignacio -
Id.: 55287211
Idioma:
spa
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Versión: 1.0
Estado: Final
Tipo: application/pdf -
Palabras clave: Análisis funcional y teoría de operadores -
Tipo de recurso:
Artículo
- PeerReviewed
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Tipo de Interactividad: Expositivo
Nivel de Interactividad: muy bajo
Audiencia:
Estudiante
- Profesor
- Autor
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Estructura: Atomic
Coste: no
Copyright: sí
: info:eu-repo/semantics/embargoedAccess
Formatos: application/pdf -
Requerimientos técnicos: Browser: Any -
Relación:
[References] http://www.sciencedirect.com/science/article/pii/S0895717708001386
[References] http://eprints.ucm.es/15131/
Fecha de contribución: 09-may-2012
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