ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS
In this paper we formulate a model describing the evolution of thickness of a shallow ice sheet. The thickness of the ice sheet is constrained to be nonnegative. This renders the problem under consideration an obstacle problem. A rigorous analysis shows that the model is thus governed by a set of va...
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ftccsdartic:oai:HAL:hal-03613966v1 2023-05-15T16:40:08+02:00 ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS Piersanti, Paolo Temam, Roger Karl-Franzens-Universität Graz 2022-03-19 https://hal.archives-ouvertes.fr/hal-03613966 https://hal.archives-ouvertes.fr/hal-03613966/document https://hal.archives-ouvertes.fr/hal-03613966/file/PT.pdf en eng HAL CCSD hal-03613966 https://hal.archives-ouvertes.fr/hal-03613966 https://hal.archives-ouvertes.fr/hal-03613966/document https://hal.archives-ouvertes.fr/hal-03613966/file/PT.pdf info:eu-repo/semantics/OpenAccess https://hal.archives-ouvertes.fr/hal-03613966 2022 [MATH]Mathematics [math] info:eu-repo/semantics/preprint Preprints, Working Papers, . 2022 ftccsdartic 2022-10-01T23:59:24Z In this paper we formulate a model describing the evolution of thickness of a shallow ice sheet. The thickness of the ice sheet is constrained to be nonnegative. This renders the problem under consideration an obstacle problem. A rigorous analysis shows that the model is thus governed by a set of variational inequalities that involve nonlinearities in the time derivative and in the elliptic term, and that it admits solutions, whose existence is established by means of a semi-discrete scheme and the penalty method. Report Ice Sheet Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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Open Polar |
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Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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ftccsdartic |
language |
English |
topic |
[MATH]Mathematics [math] |
spellingShingle |
[MATH]Mathematics [math] Piersanti, Paolo Temam, Roger ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS |
topic_facet |
[MATH]Mathematics [math] |
description |
In this paper we formulate a model describing the evolution of thickness of a shallow ice sheet. The thickness of the ice sheet is constrained to be nonnegative. This renders the problem under consideration an obstacle problem. A rigorous analysis shows that the model is thus governed by a set of variational inequalities that involve nonlinearities in the time derivative and in the elliptic term, and that it admits solutions, whose existence is established by means of a semi-discrete scheme and the penalty method. |
author2 |
Karl-Franzens-Universität Graz |
format |
Report |
author |
Piersanti, Paolo Temam, Roger |
author_facet |
Piersanti, Paolo Temam, Roger |
author_sort |
Piersanti, Paolo |
title |
ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS |
title_short |
ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS |
title_full |
ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS |
title_fullStr |
ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS |
title_full_unstemmed |
ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS |
title_sort |
on the dynamics of shallow ice sheets. modelling and analysis |
publisher |
HAL CCSD |
publishDate |
2022 |
url |
https://hal.archives-ouvertes.fr/hal-03613966 https://hal.archives-ouvertes.fr/hal-03613966/document https://hal.archives-ouvertes.fr/hal-03613966/file/PT.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
https://hal.archives-ouvertes.fr/hal-03613966 2022 |
op_relation |
hal-03613966 https://hal.archives-ouvertes.fr/hal-03613966 https://hal.archives-ouvertes.fr/hal-03613966/document https://hal.archives-ouvertes.fr/hal-03613966/file/PT.pdf |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1766030506922606592 |