On the dynamics of grounded shallow ice sheets: Modeling and analysis
In this article, we formulate a model describing the evolution of thickness of a grounded 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...
| Published in: | Advances in Nonlinear Analysis |
|---|---|
| Main Authors: | , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
De Gruyter
2023
|
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2022-0280 https://doaj.org/article/56229a2d7812410c93b09f066904750b |
| Summary: | In this article, we formulate a model describing the evolution of thickness of a grounded 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. |
|---|