Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-17 DOI:10.1016/j.jmaa.2024.128971

Maria Eckardt , Anna Zhigun

引用次数: 0

Abstract

Global existence of very weak solutions to a non-local diffusion-advection-reaction equation is established under no-flux boundary conditions in higher dimensions. The equation features degenerate myopic diffusion and nonlocal adhesion and is an extension of a mass-conserving model recently derived in [21]. The admissible degeneracy of the diffusion tensor is characterised in terms of the upper box fractal dimension.

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具有退化各向异性扩散的非局部方程的全局存在解

在高维度无流动边界条件下，建立了非局部扩散-对流-反应方程极弱解的全局存在性。该方程以退化近视扩散和非局部粘附为特征，是最近在 [21] 中推导出的质量守恒模型的扩展。扩散张量的可容许退化性是以上框分形维度来表征的。

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.