Global Existence and Asymptotic Behavior of Classical Solutions for a 3D Two-Species Keller-Segel-Stokes System with Competitive Kinetics

被引：0

作者：

Cao, Xinru ^{[1
]}

Kurima, Shunsuke ^{[2
]}

Mizukami, Masaaki ^{[2
]}

机构：

[1] Donghua Univ, Sch Sci, North Renmin Rd 2999, Shanghai 201620, Peoples R China

[2] Tokyo Univ Sci, Dept Math, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2019年 / 62卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Keller-Segel-Stokes; Global existence; Asymptotic stability; PARABOLIC CHEMOTAXIS SYSTEM; BOUNDEDNESS; STABILIZATION; STABILITY; MODEL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a two-species Keller-Segel-Stokes system with competitive kinetics under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. The main purpose of this paper is to obtain global existence and stabilization of classical solutions to the system in the 3-dimensional case under the smallness conditions for chemotactic interactions. To this end, this paper develops a maximal Sobolev regularity result for Stokes operator involving a time weighted function, which seems new in the existing literature (see Lemma 2.3 in this paper).

引用

页码：387 / 408

页数：22

共 38 条

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