RT Journal Article
T1 Potential Symmetry Properties of a Family of Equations Occuring in Ice Sheet Dynamics
A1 Díaz Díaz, Jesús Ildefonso
A1 Wiltshire, R. J.
AB 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.
PB Birkhäuser
SN 0033-4553
YR 2008
FD 2008-08
LK https://hdl.handle.net/20.500.14352/49919
UL https://hdl.handle.net/20.500.14352/49919
LA eng
NO DGISGPI (Spain)
NO DGUIC
DS Docta Complutense
RD 17 abr 2025