Incompressible magneto-micropolar Benard system;
Global well-posedness;
Damping;
Zero thermal conductivity;
NAVIER-STOKES EQUATIONS;
UNIQUENESS;
EXISTENCE;
D O I:
10.1016/j.aml.2024.108995
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We are concerned with the three-dimensional (3D) Cauchy problem of the incompressible magneto-micropolar Benard system with a nonlinear damping term alpha|u|(beta-1)u (alpha > 0 and beta >= 1) in the momentum equations. By energy method, we derive a unique global strong solution for such a model when beta >= 4. Our result extends previous related works.
机构:
Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
Panzhihua Univ, Dept Math & Comp, Panzhihua 617000, Peoples R ChinaSichuan Univ, Dept Math, Chengdu 610064, Peoples R China
Liu, Yujun
Li, Shan
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机构:
Sichuan Univ, Sch Business, Chengdu 610064, Peoples R ChinaSichuan Univ, Dept Math, Chengdu 610064, Peoples R China
机构:
Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Peoples R ChinaNortheastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Peoples R China
Shang, Haifeng
Liu, Chao
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机构:
Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Peoples R ChinaNortheastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Peoples R China
机构:
Shenzhen Univ, Sch Math & Stat, Shenzhen, Peoples R China
Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen, Peoples R ChinaShenzhen Univ, Sch Math & Stat, Shenzhen, Peoples R China
Li, Xinliang
Ding, Dandan
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机构:
Xiamen Univ, Sch Math Sci, Xiamen, Peoples R ChinaShenzhen Univ, Sch Math & Stat, Shenzhen, Peoples R China
机构:
Geomathematics Key Laboratory of Sichuan Province,Chengdu University of Technology
School of Mathematical Sciences,University of Electronic Science and Technology of ChinaGeomathematics Key Laboratory of Sichuan Province,Chengdu University of Technology
Hongxia Lin
Zhaoyin Xiang
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h-index: 0
机构:
School of Mathematical Sciences,University of Electronic Science and Technology of ChinaGeomathematics Key Laboratory of Sichuan Province,Chengdu University of Technology