Modelling ice sheet dynamics
作者:
A.C. Fowler,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1992)
卷期:
Volume 63,
issue 1-4
页码: 29-65
ISSN:0309-1929
年代: 1992
DOI:10.1080/03091929208228277
出版商: Taylor & Francis Group
关键词: Ice sheets;mathematical model;large activation energy asymptotics
数据来源: Taylor
摘要:
This paper surveys the problem of modelling the dynamics of large ice sheets. A simplified model for two-dimensional plane ice sheets is derived, and both isothermal and non-isothermal cases are considered. The model is not uniformly asymptotically valid at a divide or at a margin, and we suggest local (isothermal) analyses which give order of magnitude estimates for divide curvature and margin slope. We also give a uniformly valid description for small perturbations to an isothermal ice sheet, which decay diffusively. For the more interesting non-isothermal case, we are able to provide explicit approximate solutions for the surface profile, based on Lliboutry's heuristic boundary layer analysis, and give an approximate description of the temperature field.
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