On the dynamics of grounded shallow ice sheets: Modeling and analysis

被引：8

作者：

Piersanti, Paolo ^{[1
,2
]}

Temam, Roger ^{[1
,2
]}

机构：

[1] Indiana Univ Bloomington, Dept Math, 729 East Third St, Bloomington, IN 47405 USA

[2] Indiana Univ, Inst Sci Comp & Appl Math, 729 East Third St, Bloomington, IN 47405 USA

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

关键词：

shallow ice approximation; doubly nonlinear equations; variational inequalities; penalty method; CONTACT PROBLEM; REGULARITY; SYSTEM; FLOW;

D O I：

10.1515/anona-2022-0280

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：40

共 63 条

[41] Estimating the ice thickness of mountain glaciers with a shape optimization algorithm using surface topography and mass-balance [J].