Título:
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Potential Symmetry Properties of a Family of Equations Occuring in Ice Sheet Dynamics
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Wiltshire, R. J.
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Tipo de documento:
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texto impreso
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Editorial:
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Birkhäuser, 2008-08
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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: Geología: Geología estratigráfica
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Tipo = Artículo
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Resumen:
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In this paper we derive some similarity solutions of a nonlinear equation associated with a free boundary problem arising in the shallow-water approximation in glaciology. In addition we present a classical potential symmetry analysis of this second-order nonlinear degenerate parabolic equation related to non-Newtonian ice sheet dynamics in the isothermal case. After obtaining a general result connecting the thickness function of the ice sheet and the solution of the nonlinear equation (without any unilateral formulation), a particular example of a similarity solution to a problem formulated with Cauchy boundary conditions is described. This allows us to obtain several qualitative properties on the free moving boundary in the presence of an accumulation-ablation function with realistic physical properties.
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En línea:
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https://eprints.ucm.es/id/eprint/15189/1/27.pdf
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