文章基本信息

标题：Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach
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作者：Guillaume Jouvet ; Jacques Rappaz ; Ed Bueler 等
期刊名称：Journal of Glaciology
印刷版ISSN：0022-1430
电子版ISSN：1727-5652
出版年度：2011
卷号：57
期号：202
页码：345-354
DOI：10.3189/002214311796405852
出版社：Cambridge University Press
摘要：The existence of solutions of the non-sliding shallow-ice-sheet equation on a flat horizontal bed with a mass balance linearly depending on altitude is proven for fixed margins. Free-margin solutions for the same mass balance do not exist. Fixed-margin solutions show unbounded shear stress and nonzero mass flux at the margin. Steady-state solutions with realistic margins, vanishing ice flux and vanishing shear stress are found numerically for ice sheets with Weertman-type sliding.