Díaz Díaz, Jesús Ildefonso and Wiltshire, R. J.
(2008)
*Potential Symmetry Properties of a Family of Equations Occuring in Ice Sheet Dynamics.*
Pure and Applied Geophysics, 165
(8).
pp. 1643-1661.
ISSN 0033-4553

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Official URL: http://www.springerlink.com/content/t3414343k6x40421/

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Ice flow dynamics; potential symmetries |

Subjects: | Sciences > Geology > Stratigraphic geology |

ID Code: | 15189 |

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Deposited On: | 11 May 2012 08:13 |

Last Modified: | 11 May 2012 08:13 |

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