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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 471卷 / 1-2期

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

页码：126 / 146

页数：21

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