Publication

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

Jacques Rappaz, Guillaume Jouvet
2011
Journal Articles

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.

Official source

https://infoscience.epfl.ch/entities/publication/eec72b45-5e06-45dc-879d-550cacc6c1e0

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

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