双稳非线性守恒反应扩散体系中单过渡层的稳定性

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-05-20 DOI:10.1016/j.jde.2025.113430

Hideo Ikeda , Masataka Kuwamura

引用次数: 0

摘要

在一般假设下，研究具有双稳态非线性的质量守恒反应扩散系统。利用解析奇异摄动理论，证明了该类反应扩散系统具有单内过渡层的平稳解的存在性。此外，通过计算Evans函数，给出了平稳解的稳定性判据。

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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Stability of single transition layer in mass-conserving reaction-diffusion systems with bistable nonlinearity

Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analytical singular perturbation theory. Moreover, a stability criterion for the stationary solutions is provided by calculating the Evans function.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics