一类奇异灵敏度吸引-排斥趋化系统的全局经典解

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-02-26 DOI:10.1002/mma.10806

S. Amalorpava Josephine, S. Karthikeyan, L. Shangerganesh, K. Yadhavan

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引用次数: 0

摘要

本文研究了具有两种化学物质的奇异敏感抛物型吸引-排斥趋化系统在诺依曼边界条件下的性质。两种化学物质影响着参与这一生物过程的物种。这两种信号都来自同一物种，但浓度较高的一种会吸引该物种，而浓度较低的则会排斥它。利用能量估计方法，探讨了该模型在大于1维空间域中经典解的整体存在性。

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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Global Classical Solutions for a Chemotaxis System of Attraction–Repulsion With Singular Sensitivity

This paper examines the singular sensitive parabolic attraction–repulsion chemotaxis system with two chemicals subjected to the Neumann boundary condition. Two chemical substances impact the species involved in this biological process. Both signals come from the same species, but a higher concentration of one attracts the species while a lesser concentration repels it. Using the energy estimate approach, we explore the global existence of classical solutions of the proposed model in a spatial domain with a dimension greater than one.

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.