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 nonze...
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International Glaciological Society
2011
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Online Access: | http://infoscience.epfl.ch/record/169644 https://doi.org/10.3189/002214311796405852 |
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ftinfoscience:oai:infoscience.tind.io:169644 2023-06-11T04:12:45+02:00 Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach Jouvet, Guillaume Rappaz, Jacques Bueler, Ed Blatter, Heinz 2011-10-19T09:33:12Z http://infoscience.epfl.ch/record/169644 https://doi.org/10.3189/002214311796405852 unknown International Glaciological Society http://infoscience.epfl.ch/record/169644 doi:10.3189/002214311796405852 ISI:000294083700016 http://infoscience.epfl.ch/record/169644 Text 2011 ftinfoscience https://doi.org/10.3189/002214311796405852 2023-05-08T00:45:49Z 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. Text Ice Sheet EPFL Infoscience (Ecole Polytechnique Fédérale Lausanne) Weertman ENVELOPE(-67.753,-67.753,-66.972,-66.972) Journal of Glaciology 57 202 345 354 |
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Open Polar |
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EPFL Infoscience (Ecole Polytechnique Fédérale Lausanne) |
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ftinfoscience |
language |
unknown |
description |
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. |
format |
Text |
author |
Jouvet, Guillaume Rappaz, Jacques Bueler, Ed Blatter, Heinz |
spellingShingle |
Jouvet, Guillaume Rappaz, Jacques Bueler, Ed Blatter, Heinz Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach |
author_facet |
Jouvet, Guillaume Rappaz, Jacques Bueler, Ed Blatter, Heinz |
author_sort |
Jouvet, Guillaume |
title |
Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach |
title_short |
Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach |
title_full |
Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach |
title_fullStr |
Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach |
title_full_unstemmed |
Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach |
title_sort |
existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach |
publisher |
International Glaciological Society |
publishDate |
2011 |
url |
http://infoscience.epfl.ch/record/169644 https://doi.org/10.3189/002214311796405852 |
long_lat |
ENVELOPE(-67.753,-67.753,-66.972,-66.972) |
geographic |
Weertman |
geographic_facet |
Weertman |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
http://infoscience.epfl.ch/record/169644 |
op_relation |
http://infoscience.epfl.ch/record/169644 doi:10.3189/002214311796405852 ISI:000294083700016 |
op_doi |
https://doi.org/10.3189/002214311796405852 |
container_title |
Journal of Glaciology |
container_volume |
57 |
container_issue |
202 |
container_start_page |
345 |
op_container_end_page |
354 |
_version_ |
1768388831731515392 |