| Abstract: |
| In this talk, which is the result of a joint work of the speaker with Roger Temam (IU), 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, rendering 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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