Characterization of Initial Layer for Fast Chemical Diffusion Limit in Keller-Segel System

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-10-16 DOI:10.1007/s10440-024-00695-6

Min Li, Zhaoyin Xiang

引用次数: 0

Abstract

This paper investigates the fast chemical diffusion limit from a parabolic-parabolic Keller-Segel system to the corresponding parabolic-elliptic Keller-Segel system by constructing approximate solutions with an appropriate order via an asymptotic expansion. Nonlinear stability of the precise initial layer is characterized with an exact convergence rate by using basic energy method.

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凯勒-西格尔系统中快速化学扩散极限的初始层特征

本文研究了从抛物-抛物 Keller-Segel 系统到相应的抛物-椭圆 Keller-Segel 系统的快速化学扩散极限，通过渐近展开构建了适当阶次的近似解。利用基本能量法，精确初始层的非线性稳定性具有精确的收敛率。

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

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.