具有Logistic源的三维趋化模型的适定性研究

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具有Logistic源的三维趋化模型的适定性研究
Well-Posedness Study onThree-Dimensional ChemotaxisModel with Logistic Source

DOI: 10.12677/PM.2024.145195, PDF, 下载: 28 浏览: 51
作者: 江昱邦, 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；全局适定性；Chemotaxis System； Logistic Source； Energy Estimate； Global Well-Posedness

摘要: 本文研究了一类在全空间ℝ³上具有奇性和Logistic源的趋化模型的整体适定性。通过Cole-Hopf型变换，将带奇性的趋化系统转化为非奇性的趋化系统，然后通过能量估计的方法建立该系统解的全局适定性。

Abstract: In this thesis, we study the global well-posedness of a singular chemotaxis system with logistic source in three dimensional whole spaces. Through the Cole-Hopf type transformation, the singular chemotaxis is converted into a non-singular hyperbolic system, and then the global well-posedness of the transformed model solution is established through the energy estimation method.

文章引用：江昱邦, 彭红云. 具有Logistic源的三维趋化模型的适定性研究[J]. 理论数学, 2024, 14(5): 394-408. https://doi.org/10.12677/PM.2024.145195

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