Tropical climate model (TCM);
damping;
global regularity;
NAVIER-STOKES EQUATIONS;
REGULARITY;
UNIQUENESS;
DECAY;
D O I:
10.1007/s11464-021-0933-6
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We establish the global well-posedness of a strong solution to the 3D tropical climate model with damping. We prove that there exists the global and unique solution for alpha, beta, gamma satisfying one of the following three conditions: (1) alpha, beta > 4; (2) 7/2 <= alpha < 4, beta > (5 alpha + 7)/(2 alpha), gamma > 7/(2 alpha - 5); (3) 3 < alpha <= 7/2, beta, gamma > 7/(2 alpha - 5).
机构:
Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R ChinaAnqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
机构:
Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
Univ Dschang, Dept Math & Comp Sci, Dschang, CameroonUniv Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
Deugoue, Gabriel
Sango, Mamadou
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机构:
Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South AfricaUniv Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
机构:
Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
Dong, Bo-Qing
Li, Chaoying
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机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
Li, Chaoying
Xu, Xiaojing
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机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
Xu, Xiaojing
Ye, Zhuan
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机构:
Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China