富士达次临界情况下对流扩散方程的高阶渐近展开式

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications 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。

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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.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.