%0 Journal Article %T 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 %A 江昱邦 %A 彭红云 %J Pure Mathematics %P 394-408 %@ 2160-7605 %D 2024 %I Hans Publishing %R 10.12677/PM.2024.145195 %X 本文研究了一类在全空间?3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。
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. %K 趋化模型,Logistic源,能量估计,全局适定性
Chemotaxis System %K Logistic Source %K Energy Estimate %K Global Well-Posedness %U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=88712