Boundedness and stabilization in a two-species chemotaxis system with logistic source

被引：15
|
作者：
Ren, Guoqiang [1 ,2 ,3 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China
[3] Huazhong Univ Sci & Technol, Inst Artificial Intelligence, Wuhan 430074, Hubei, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2020年 / 71卷 / 05期
关键词：
Chemotaxis; Lotka-Volterra competitive kinetics; Boundedness; Stabilization; NAVIER-STOKES SYSTEM; KELLER-SEGEL SYSTEM; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; BLOW-UP; SINGULAR SENSITIVITY; COMPETITION SYSTEM; WEAK SOLUTIONS; FLUID SYSTEM; MODEL;
D O I：
10.1007/s00033-020-01410-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we consider the two-species chemotaxis system with logistic source in a two-dimensional bounded domain. We present the global existence of classical solutions under appropriate regularity assumptions on the initial data. In addition, the asymptotic behavior of the solutions is studied, and our results generalize and improve some well-known results in the literature.
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收藏
页数：17
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