Author： Jouvet Guillaume Rappaz Jacques Bueler Ed Blatter Heinz
Publisher： International Glaciological Society
ISSN： 1727-5652
Source： Journal of Glaciology, Vol.57, Iss.202, 2011-04, pp. : 345-354
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Abstract
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.
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