具有Logistic源的三维趋化模型解的大时间行为
Large Time Behavior for a Three-Dimensional Chemotaxis System with Logistic Source
DOI: 10.12677/AAM.2024.135211, PDF, 下载: 25  浏览: 43 
作者: 徐坤桦, 彭红云：广东工业大学数学与统计学院, 广东 广州
关键词: 趋化模型；Logistic源；能量估计；衰减估计；Chemotaxis System； Logistic Source； Energy Estimates； Decay Estimates
摘要: 本文研究了一类在全空间R3上具有奇性和Logistic源项的趋化模型解的大时间行为，并得到了解 的衰减估计。 通过一类Cole-Hopf变换，将有奇性的趋化模型变换成无奇性的趋化模型。 然后采 用能量估计的方法得到变换后模型的全局解的衰减估计。
Abstract: In this paper, we study the large time behavior of a singular chemotaxis system with logistic source in three dimensional whole spaces and obtain the decay estimates for the solutions. The singular chemotaxis is converted to a non-singular hyperbolic system by a Cole-Hopf type transformation. Then the decay estimates of the global solutions of the transformed system are established by using the method of energy estimates.
文章引用：徐坤桦, 彭红云. 具有Logistic源的三维趋化模型解的大时间行为[J]. 应用数学进展, 2024, 13(5): 2221-2231. https://doi.org/10.12677/AAM.2024.135211

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