小初值条件下二维半空间上一类趋化-流体耦合方程解的时间衰减估计  

Time decay estimates of solutions for a coupled chemotaxis-fluid equations in 2D half-space with small initial data

作　　者：王广旭 史仁坤 WANG Guangxu;SHI Renkun(College of Science,Hohai University,Nanjing 210000,China)

机构地区：[1]河海大学理学院,江苏南京211100

出　　处：《湖北大学学报（自然科学版）》2024年第4期550-564,共15页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金青年项目(11801137)资助。

摘　　要：趋化-流体耦合方程解的大时间行为是近年来趋化现象中的一个研究热点。本研究考虑二维半空间上一类具有化学刺激物生成机制的趋化-流体耦合方程。利用格林函数方法,得到小初值条件下解的时间衰减估计。结果表明,在小初值条件下,方程的解具有与热传导方程类似的衰减性质。The large time behavior of solutions for coupled chemotaxis-fluid equations is a hot research topic in studying chemotaxis phenomena in recent years.In this paper,a coupled chemotaxis-fluid system with chemical stimulus generation mechanism in two-dimensional half-space was considered,using the Green’s function method,we obtained the time decay rates of solutions under small initial conditions.The results imply that the solutions have decay properties similar to the one for the heat equation.

关 键 词：半空间 趋化-流体方程 小初值 时间衰减 

分 类 号：O172[理学—数学]