机构:
Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Peoples R ChinaUniv Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Zhai, Jianliang
[1
,2
]
Zhang, Tusheng
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Peoples R China
Univ Manchester, Sch Math, Oxford Rd, Manchester M13 9PL, Lancs, EnglandUniv Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
Zhang, Tusheng
[1
,2
,3
]
机构:
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Peoples R China
[3] Univ Manchester, Sch Math, Oxford Rd, Manchester M13 9PL, Lancs, England
来源:
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
|
2020年
/
138卷
基金:
中国国家自然科学基金;
关键词:
Stochastic;
Chemotaxis-Navier-Stokes equations;
Mild/variational solutions;
Weak solutions;
Energy estimates;
Skorohold representation;
Pathwise uniqueness;
GLOBAL EXISTENCE;
BOUNDEDNESS;
DRIVEN;
MODELS;
D O I:
10.1016/j.matpur.2019.12.009
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we establish the existence and uniqueness of both mild(/variational) solutions and weak (in the sense of PDE) solutions of coupled system of 2D stochastic Chemotaxis-Navier-Stokes equations. The mild/variational solution is obtained through introducing a new method of cutting off the stochastic system and using a fixed point argument in a carefully constructed Banach space. To get the weak solution we first prove the existence of a martingale weak solution and then we show that the pathwise uniqueness holds for the martingale solution. (C) 2019 Elsevier Masson SAS. All rights reserved.