RT Journal Article
T1 Similarity solutions of an equation describing ice sheet dynamics
A1 Díaz Díaz, Jesús Ildefonso
A1 Wiltshire, R. J.
AB 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.
PB Elsevier
SN 0167-2789
YR 2006
FD 2006-04-15
LK https://hdl.handle.net/20.500.14352/49966
UL https://hdl.handle.net/20.500.14352/49966
LA eng
DS Docta Complutense
RD 4 abr 2025