Large time periodic solutions to coupled chemotaxis-fluid models

被引：23
|
作者：
Jin, Chunhua [1 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2017年 / 68卷 / 06期
关键词：
Chemotaxis-Navier-Stokes system; Chemotaxis-Stokes system; Large periodic solution; Classical solution; SEGEL-STOKES MODEL; BLOW-UP; GLOBAL EXISTENCE; NONLINEAR DIFFUSION; SYSTEM; BOUNDEDNESS; BEHAVIOR; AGGREGATION;
D O I：
10.1007/s00033-017-0882-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the time periodic problem to coupled chemotaxis-fluid models. We prove the existence of large time periodic strong solutions for the full chemotaxis-Navier-Stokes system in spatial dimension N = 2, and the existence of large time periodic strong solutions for the chemotaxis-Stokes system in spatial dimension N = 3. On the basis of these, the regularity of the solutions can be further improved. More precisely speaking, if the time periodic source g and the potential force del phi belong to C-alpha, alpha/2 ((Omega) over bar x R), the solutions we obtained are also classical solutions.
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页数：24
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