Biblioteca de la Universidad Complutense de Madrid

Similarity solutions of an equation describing ice sheet dynamics

Impacto

Díaz Díaz, Jesús Ildefonso y Wiltshire, R. J. (2006) Similarity solutions of an equation describing ice sheet dynamics. Physica D-Nonlinear Phenomena, 216 (2). pp. 319-326. ISSN 0167-2789

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0167278906000856




Resumen

This paper focuses upon the derivation of the similarity solutions of a nonlinear equation associated with a free boundary problem arising in glaciology. We present a potential symmetry analysis of this second order nonlinear degenerate parabolic equation related to non-Newtonian ice sheet dynamics in the isothermal case. A full classical and also a non-classical symmetry analysis are presented. 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 of the free moving boundary in the presence of an accumulation-ablation function with realistic physical properties.


Tipo de documento:Artículo
Palabras clave:nonlinear degenerate equations; ice flow dynamics; potential symmetries
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:15408
Referencias:

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J.I. Díaz, E. Schiavi, Tratamiento matematico de una ecuacion parabolica cuasilineal degenerada en Glaciologia, in: Electronic Proceedings of the XIV CEDYA-IV Congreso de Matemática Aplicada, Vic, Barcelona, 1995, http://www.mal.upc.es/cedya/cedya.html.

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Depositado:29 May 2012 09:21
Última Modificación:06 Feb 2014 10:24

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