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

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0280

Paolo Piersanti, R. Temam

引用次数: 4

Abstract

Abstract 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.

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浅地层冰盖的动力学:模拟与分析

在本文中，我们建立了一个描述接地浅层冰盖厚度演变的模型。冰盖的厚度被限制为非负的。这使得所考虑的问题成为障碍问题。严格的分析表明，该模型是由一组涉及时间导数和椭圆项非线性的变分不等式控制的，并且它允许解，其存在性通过半离散格式和惩罚方法得到证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.