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.

引用

页码：307 / 355

页数：49

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