STRONG TIME-PERIODIC SOLUTIONS TO CHEMOTAXIS-NAVIER-STOKES EQUATIONS ON BOUNDED DOMAINS

被引：3

作者：

Watanabe, Keiichi ^{[1
]}

机构：

[1] Waseda Univ, Tokyo, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年 / 42卷 / 11期

关键词：

Chemotaxis-Navier-Stokes equations; convex domains; strong periodic solution; maximal regularity; Arendt-Bu theorem; H-INFINITY-CALCULUS; OPERATOR; SYSTEM; REGULARITY; EXISTENCE; THEOREM;

D O I：

10.3934/dcds.2022114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the chemotaxis-Navier-Stokes equations on a bounded convex domain Omega subset of R-3, where the boundary partial derivative Omega of Omega is not necessarily smooth. It is shown that this system admits a unique strong 2 pi-periodic solution provided that given 2 pi-periodic forcing functions are sufficiently small in their natural norm. The result may extend to general cases Omega subset of R-d, d >= 2, if one additionally assumes that partial derivative Omega is of class C-3. The nonnegativity of solutions is also discussed.

引用

页码：5577 / 5590

页数：14

共 20 条

[1] The operator-valued Marcinkiewicz multiplier theorem and maximal regularity [J].