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

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

Abstract

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.

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富士达次临界情况下对流扩散方程的高阶渐近展开式

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。

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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

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