R3中抛物型吸引-排斥趋化性模型弱解的整体存在性：排斥性优势情况

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-09-24 DOI:10.1016/j.jde.2025.113791

Chia-Yu Hsieh, Yuan Wang

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引用次数: 0

摘要

考虑三维全抛物型吸引-排斥趋化模型的柯西问题。由于扩散、聚集和斥力效应的共同作用，模型的解可能全局存在，也可能在有限时间内爆炸。当化学驱避剂占主导地位时，很自然地期望解决方案在全球范围内及时存在。然而，全局存在只在二维空间中已知。在这项工作中，我们建立了三维排斥性优势情况弱解的整体存在性。

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Global existence of weak solutions to a parabolic attraction-repulsion chemotaxis model in R3: The repulsive dominant case

We consider the Cauchy problem for a full parabolic attraction-repulsion chemotaxis model in three dimensions. Due to the combination of diffusion, aggregation and repulsion effects, solutions to the model may exist globally or blow up in finite time. It is natural to expect that solutions exist globally in time when the chemorepellent is dominant. However, the global existence is only known in two dimensions. In this work, we establish the global existence of weak solutions for the repulsive dominant case in three dimensions.

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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