%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