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

被引：8
|
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
  • [21] Global existence and decay estimate of solutions to magneto-micropolar fluid equations
    Tan, Zhong
    Wu, Wenpei
    Zhou, Jianfeng
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (07) : 4137 - 4169
  • [22] Periodic solutions to the compressible magnetohydrodynamic equations in a periodic domain
    Cai, Hong
    Tan, Zhong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) : 172 - 193
  • [23] OPTIMAL DECAY RATES OF THE COMPRESSIBLE MAGNETO-MICROPOLAR FLUIDS SYSTEM IN R3
    Tong, Leilei
    Tan, Zhong
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 17 (04) : 1109 - 1134
  • [24] Pipe flow of magneto-micropolar fluids with slip
    Sherief, H. H.
    Faltas, M. S.
    El-Sapa, S.
    CANADIAN JOURNAL OF PHYSICS, 2017, 95 (10) : 885 - 893
  • [25] Magnetohydrodynamics approximation of the compressible full magneto-micropolar system
    Fan, Jishan
    Ozawa, Tohru
    AIMS MATHEMATICS, 2022, 7 (09): : 16037 - 16053
  • [26] On the motion of the 3D compressible micropolar fluids with time periodic external forces
    Tan, Zhong
    Xu, Qiuju
    JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (08)
  • [27] Uniform Regularity for the Isentropic Compressible Magneto-Micropolar System
    Fan, Jishan
    Wang, Peng
    Zhou, Yong
    MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (04) : 519 - 527
  • [28] GENERALIZED TIME-PERIODIC SOLUTIONS TO THE EULER EQUATIONS OF COMPRESSIBLE FLUIDS
    Georgiev, Svetlin
    LeFloch, Philippe G.
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2009, 1 (03): : 413 - 426
  • [29] EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS TO A HIGHER DIMENSIONAL PERIODIC SYSTEM WITH DELAY
    Wu Xiaofei (School of Math. and Information Science
    Annals of Applied Mathematics, 2008, (04) : 419 - 426
  • [30] On the compressible micropolar fluids in a time-dependent domain
    Bingkang Huang
    Šárka Nečasová
    Lan Zhang
    Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 : 2733 - 2795
12345