Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-12-12 DOI:10.3233/asy-231887

Jiangwei Zhang, Zhe Xie, Yongqin Xie

引用次数: 0

Abstract

This paper aims to study the long-time behavior of nonclassical diffusion equation with memory and disturbance parameters on time-dependent space. By using the contractive process method on the family of time-dependent spaces and operator decomposition technique, the existence of pullback attractors is first proved. Then the upper semi-continuity of pullback attractors with respect to perturbation parameter ν in M t is obtained. It’s remarkable that the nonlinearity f satisfies the polynomial growth of arbitrary order.

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时间相关空间上具有记忆的非经典扩散方程的长时行为

本文旨在研究时间依赖空间上具有记忆和扰动参数的非经典扩散方程的长期行为。通过使用时间依赖空间族上的收缩过程方法和算子分解技术，首先证明了回拉吸引子的存在性。然后得到了回拉吸引子在 M t 中关于扰动参数 ν 的上半连续性。值得注意的是，非线性 f 满足任意阶的多项式增长。

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.

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