Decay of the 3D Lüst model

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-10 DOI:10.1186/s13661-023-01797-0

Ying Sheng

引用次数: 0

Abstract

Abstract In this paper, we consider the time-decay rate of the strong solution to the Cauchy problem for the three-dimensional Lüst model. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained. The $\dot{H}^{-s}$ H ˙ − s ( $0\leq s<\frac{3}{2}$ 0 ≤ s < 3 2 ) negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates.

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三维 st模型的衰减

摘要本文考虑三维l st模型Cauchy问题强解的时间衰减率。特别地，得到了解的高阶空间导数的最优衰减率。$\dot{H}^{-s}$ H˙s ($0\leq s<\frac{3}{2}$ 0≤s ＆lt;负Sobolev范数随时间的演变而保持不变，并提高了衰变速率。

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.