穆斯卡特方程解的正则性：周转点附近的退化正则性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-01 DOI:10.1016/j.aim.2024.109850

Jia Shi

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引用次数: 0

摘要

本文证明，如果具有不同密度和相同粘度的 Muskat 问题的解足够光滑，只要满足一些附加条件，该解在周转点退化的区域内是解析的。本文研究了翻转点附近解的解析性，是对 [38] 结果的补充。

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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The regularity of the solutions to the Muskat equation: The degenerate regularity near the turnover points

In this paper, we prove that if a solution to the Muskat problem with different densities and the same viscosity is sufficiently smooth, the solution is analytic in a region that degenerates at the turnover points, provided some additional conditions are satisfied. This paper studies the analyticity of the solution near turnover points, complementing the result in [38].

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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.