Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain

被引：11
|
作者：
Zhang, Xinli [1 ]
Cai, Hong [2 ]
机构：
[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China
[2] Qingdao Univ Sci & Technol, Res Inst Math & Interdisciplinary Sci, Qingdao 266061, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2020年 / 71卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Time periodic solution; Compressible magneto-micropolar fluids; Topological degree theory; Energy estimates; NAVIER-STOKES EQUATION;
D O I：
10.1007/s00033-020-01409-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the existence and uniqueness of a time periodic solution for the compressible magneto-micropolar fluids with time periodic forces in a periodic domain. More precisely, under some smallness and symmetry assumptions on the external forces, we prove the existence of the periodic solution by a regularized approximation scheme and the topological degree theory. The uniqueness of the periodic solution is obtained by energy estimates.
引用
收藏
页数：24
相关论文
共 50 条
12345