Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Levy noise

被引:9
作者
Shang, Shijie [1 ]
Zhai, Jianliang [1 ]
Zhang, Tusheng [2 ]
机构
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Univ Manchester, Sch Math, Oxford Rd, Manchester M13 9PL, Lancs, England
基金
中国国家自然科学基金;
关键词
Second grade fluids; Non-Newtonian fluids; Stochastic partial differential equations; Locally monotonicity conditions; Levy noise; NAVIER-STOKES EQUATIONS; DIFFERENTIAL TYPE; WELL-POSEDNESS; EULER; SPDE;
D O I
10.1016/j.jmaa.2018.10.068
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider stochastic second grade fluids driven by Levy noise on a bounded domain of R-2. Global existence and uniqueness of strong probabilistic solutions are established, which improves the existing corresponding results for martingale solutions in literature. (C) 2018 Elsevier Inc: All rights reserved.
引用
收藏
页码:126 / 146
页数:21
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