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Título:
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Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology
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Autores:
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Antontsev, S.N. ;
Díaz Díaz, Jesús Ildefonso ;
Oliveira, H.B de
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Tipo de documento:
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texto impreso
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Editorial:
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APMTAC/FEUP, 2007
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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/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física
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Tipo = Sección de libro
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Resumen:
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This paper deals with the study of some qualitative properties of solutions of mathematical models in non-Newtonian isothermal fluid flows and in theoretical glaciology. In the first type of models, we consider the extinction in a finite time of the solutions by using a global energy method. We prove that this property holds for pseudo-plastic fluids or for the general class of Newtonian and dilatant fluids, assumed the presence of a dissipation term (which may have an anisotropic nature and can vanish in, at most, one spatial direction). In the case of the ice sheet model in Glaciology (with a formulation involving a quasi-linear degenerate equation similar to the ones arising in non-Newtonian flows), we analyze the behavior of the free boundary (given by the support of the height h of the ice sheet) for different cases and according to the values of the ablation function and the initial hight. We use here some other energy methods of a local nature and so completely different to the method used in the first part of the paper.
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En línea:
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https://eprints.ucm.es/id/eprint/30284/1/170.pdf
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