2D stochastic Chemotaxis-Navier-Stokes system

被引：9
|
作者：
Zhai, Jianliang [1 ,2 ]
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.
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页码：307 / 355
页数：49
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