富士达次临界情况下对流扩散方程的高阶渐近展开式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-11-05 DOI:10.1016/j.nonrwa.2024.104249

Ryunosuke Kusaba

引用次数: 0

摘要

本文致力于研究藤田亚临界情况下对流扩散方程全局解的渐近行为。我们改进了 Zuazua (1993) 的结果，建立了带有余数衰减估计的高阶渐近展开。我们还讨论了余数衰减率的最优性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case

This paper is devoted to the asymptotic behavior of global solutions to the convection–diffusion equation in the Fujita-subcritical case. We improve the result by Zuazua (1993) and establish higher order asymptotic expansions with decay estimates of the remainders. We also discuss the optimality for the decay rates of the remainders.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.