关于具有信号依赖性运动、间接信号产生和广义对数源的趋化系统解的全局存在性

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2024-06-06 DOI:10.1016/j.aml.2024.109190

Changfeng Liu , Shangjiang Guo

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引用次数: 0

摘要

本文主要研究有界域中同质新曼边界条件下依赖信号运动的趋化系统。我们证明了该问题具有全局经典解，该解在比 Lv 和 Wang（2020）所求解更弱的条件下是均匀有界的。我们的研究结果表明存在一致的衰减率，从而有效地排除了系统在所有空间维度上出现炸裂现象的可能性。

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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On the global existence of solutions to a chemotaxis system with signal-dependent motility, indirect signal production and generalized logistic source

This paper is devoted to a chemotaxis system with signal-dependent motility under homogeneous Neumann boundary conditions in a bounded domain. We prove that this problem possesses a global classical solution which is uniformly bounded under weaker conditions than that obtained by Lv and Wang (2020). The findings of our study demonstrate the presence of a consistent decay rate, effectively ruling out the occurrence of blow-up phenomena in the system across all spatial dimensions.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.