反应-扩散系统中接触缺陷的截断

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED SIAM Journal on Applied Dynamical Systems Pub Date : 2024-01-03 DOI:10.1137/23m1546257

Milen Ivanov, Björn Sandstede

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引用次数: 0

摘要

SIAM 应用动力系统期刊》，第 23 卷第 1 期，第 26-49 页，2024 年 3 月。摘要接触缺陷是在一个空间维度上的时间周期性模式，类似于在其核心区域嵌入缺陷的空间均匀振荡。为了理论和数值目的，了解当域被截断到大的空间间隔并辅以适当的边界条件时，这些缺陷是否持续存在非常重要。本研究表明，截断接触缺陷是存在的，而且在足够大的空间间隔上是唯一的。

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Truncation of Contact Defects in Reaction-Diffusion Systems

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 26-49, March 2024.
Abstract. Contact defects are time-periodic patterns in one space dimension that resemble spatially homogeneous oscillations with a defect embedded in their core region. For theoretical and numerical purposes, it is important to understand whether these defects persist when the domain is truncated to large spatial intervals, supplemented by appropriate boundary conditions. The present work shows that truncated contact defects exist and are unique on sufficiently large spatial intervals.

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来源期刊

SIAM Journal on Applied Dynamical Systems 物理-物理：数学物理

CiteScore

3.60

自引率

4.80%

发文量

审稿时长

6 months

期刊介绍： SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only.