Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-03-11 DOI:10.3934/dcdsb.2023114

M. Le

引用次数: 1

Abstract

The focus of this paper is on solutions to a two-dimensional Keller-Segel system containing sub-logistic sources. We show that the presence of sub-logistic terms is adequate to prevent blow-up phenomena even in strongly degenerate Keller-Segel systems. Our proof relies on several techniques, including parabolic regularity theory in Orlicz spaces, variational arguments, interpolation inequalities, and the Moser iteration method.

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Keller-Segel交叉扩散型系统的次逻辑源防爆

本文的重点是求解包含子逻辑源的二维Keller-Segel系统。我们证明，即使在强退化的Keller-Segel系统中，子逻辑项的存在也足以防止爆炸现象。我们的证明依赖于几种技术，包括Orlicz空间中的抛物正则性理论、变分参数、插值不等式和Moser迭代法。

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

Discrete and Continuous Dynamical Systems-Series B 数学-应用数学

CiteScore

2.80

自引率

8.30%

发文量

216

审稿时长

6 months

期刊介绍： Centered around dynamics, DCDS-B is an interdisciplinary journal focusing on the interactions between mathematical modeling, analysis and scientific computations. The mission of the Journal is to bridge mathematics and sciences by publishing research papers that augment the fundamental ways we interpret, model and predict scientific phenomena. The Journal covers a broad range of areas including chemical, engineering, physical and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.