Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach

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.


Published in:
Journal Of Glaciology, 57, 345-354
Year:
2011
Publisher:
International Glaciological Society
ISSN:
0022-1430
Keywords:
Laboratories:




 Record created 2011-10-19, last modified 2018-01-28


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