带Logistic源的奇异趋化模型解的整体存在性
Global Existence of Solutions to a Singular Chemotaxis System with Logistic Source
DOI: 10.12677/AAM.2022.111002, PDF,   
作者: 李 铮, 穆丽荣：辽宁师范大学，辽宁 大连
关键词: 趋化；奇异敏感；整体存在；Chemotaxis； Singular Sensitivity； Global Existence
摘要: 本文考虑带有齐次Numann边界的抛物–抛物趋化系统：，，其中，为有界光滑区域。证明得到若及且，则系统存在整体古典解。
Abstract: This paper deals with the chemotaxis system with signal-dependent sensitivity and logistic source under homogenous Neumann boundary condition: , , where  and  is a bounded smooth domain. If with and , then the system admits a globally bounded classical solution.
文章引用：李铮, 穆丽荣. 带Logistic源的奇异趋化模型解的整体存在性[J]. 应用数学进展, 2022, 11(1): 9-15. https://doi.org/10.12677/AAM.2022.111002

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