Loading...
research article
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.
Type
research article
Web of Science ID
WOS:000294083700016
Authors
Publication date
2011
Publisher
Published in
Volume
57
Start page
345
End page
354
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 19, 2011
Use this identifier to reference this record