%0 Journal Article
%T 具有Logistic源的三维趋化模型解的大时间行为<br>Large Time Behavior for a Three-Dimensional Chemotaxis System with Logistic Source
%A 徐坤桦
%A 彭红云
%J Advances in Applied Mathematics
%P 2221-2231
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/AAM.2024.135211
%X 本文研究了一类在全空间R<sup>3</sup>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。<br />
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.
%K 趋化模型，Logistic源，能量估计，衰减估计<br>Chemotaxis System
%K Logistic Source
%K Energy Estimates
%K Decay Estimates
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=88123