具有低阶项的拟线性抛物型系统的一个存在性结果

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-11-26 DOI:10.3846/mma.2021.13553

Farah Balaadich, E. Azroul

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引用次数: 0

摘要

本文证明了一类与扩散问题相对应的拟线性抛物系统弱解的存在性，其形式为Ω是给定的有界开域，函数v属于运动和溶解的物质，溶解用f描述，运动用g描述。我们利用伽辽金近似和杨测度理论证明了弱解的存在性结果。

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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An existence Result for quasilinear parabolic Systems with Lower order Terms

In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form where Ω is a bounded open domain of be given and The function v belongs to is in a moving and dissolving substance, the dissolution is described by f and the motion by g. We prove the existence result by using Galerkin’s approximation and the theory of Young measures.

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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.