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Título:
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A nonlinear parabolic problem on a Riemannian manifold without boundary arising in climatology
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Tello, L.
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Tipo de documento:
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texto impreso
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Editorial:
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Universidad de Barcelona, 1999
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We present some results on the mathematical treatment of a global twodimensional diffusive climate model. The model is based on a long time averaged energy balance and leads to a nonlinear parabolic equation for the averaged surface temperature. The spatial domain is a compact two-dimensional Riemannian manifold without boundary simulating the Earth. We prove the existence of bounded weak solutions via a fixed point argument. Although, the uniqueness of solutions may fail, in general, we give a uniqueness criterion in terms of the behaviour of the solution near its “ice caps”.
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En línea:
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https://eprints.ucm.es/33160/1/193.pdf
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