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...
Main Authors: | , |
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Other Authors: | |
Format: | Report |
Language: | English |
Published: |
HAL CCSD
2022
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Subjects: | |
Online Access: | 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 |
Summary: | 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. |
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