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ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS
Paolo Piersanti, Roger Temam

ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS

Author / Organization:
Science & Mathematics Published 2022 Verification Pending

Overview & Synopsis

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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Document Information

Document Title ON THE DYNAMICS OF SHALLOW ICE SHEETS. MODELLING AND ANALYSIS
Author / Organization Paolo Piersanti, Roger Temam
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2022
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-216007
Original Source Link Visit Source Page on hal.science »