无界薄域上随机延迟 p-Laplacian 方程的极限动力学

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-18 DOI:10.1007/s43037-024-00326-0

Fuzhi Li, Dingshi Li, Mirelson M. Freitas

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引用次数: 0

摘要

我们研究了无界薄域上具有乘法噪声的随机延迟 p-Laplacian 方程解的长期行为。我们首先证明了定义在（(n+1)\）维无界薄域上的这些方程的有节制随机吸引子的存在性和唯一性。然后，当一个 \((n+1)\) -维薄域族退化到一个 n 维域上时，随着薄度度量趋近于零，这些吸引子的上半连续性被建立起来。

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Limiting dynamics for stochastic delay p-Laplacian equation on unbounded thin domains

We study the long-term behavior of solutions for stochastic delay p-Laplacian equation with multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of tempered random attractors for these equations defined on \((n+1)\)-dimensional unbounded thin domains. Then, the upper semicontinuity of these attractors when a family of \((n+1)\)-dimensional thin domains degenerates onto an n-dimensional domain as the thinness measure approaches zero is established.

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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.