Coefficient identification of the regularized p-Stokes equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-17 DOI:10.1016/j.nonrwa.2024.104197

Niko Schmidt

引用次数: 0

Abstract

The Antarctic and Greenland ice sheet simulation is challenging due to unknown parameters in the $p$ -Stokes equations. In this work, we prove the existence of a solution to a parameter identification for the ice rheology and the friction coefficient. Additionally, we verify Gâteaux differentiability of the coefficient-to-state operator by extending a similar result for distributed control. Moreover, we have more complicated boundary conditions. We only have to add a small diffusion term and assume the nonlinear exponent, which is given in applications, to be small enough to obtain the results. Finally, we state the adjoint equation and prove existence and uniqueness of a solution for this equation.

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正则化 p-Stokes 方程的系数识别

由于 p-Stokes 方程中的未知参数，南极和格陵兰冰盖模拟具有挑战性。在这项工作中，我们证明了冰流变和摩擦系数参数识别解的存在性。此外，我们还通过扩展分布式控制的类似结果，验证了系数到状态算子的 Gâteaux 可微分性。此外，我们还有更复杂的边界条件。我们只需添加一个小的扩散项，并假设在应用中给出的非线性指数足够小，就能得到结果。最后，我们说明了邻接方程，并证明了该方程解的存在性和唯一性。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.