2D stochastic Navier-Stokes equations driven by jump noise

被引：71

作者：

Brzezniak, Zdzislaw ^{[1
]}

Hausenblas, Erika ^{[2
]}

Zhu, Jiahui ^{[3
,4
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[2] Univ Leoben, Dept Math & Informat Technol, A-8700 Leoben, Austria

[3] Delft Univ Technol, Delft Inst Appl Math, POB 5031, NL-2600 GA Delft, Netherlands

[4] Zhejiang Univ Finance & Econ, Sch Finance, Hangzhou 310018, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 79卷

基金：

奥地利科学基金会;

关键词：

Stochastic Navier-Stokes equations; Levy noise; GLOBAL-SOLUTIONS; ERGODICITY; EXISTENCE;

D O I：

10.1016/j.na.2012.10.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we are studying the existence and uniqueness of the solution of an abstract nonlinear equation driven by a multiplicative noise of Levy type. Our result is formulated in an abstract setting. This type of equation covers the stochastic 2D Navier-Stokes Equations, the 2D stochastic Magneto-Hydrodynamic Equations, the 2D stochastic Boussinesq Model for the Benard Convection, the 2D stochastic Magnetic Bernard Problem, the 3D stochastic Leray alpha-Model for the Navier-Stokes Equations and several stochastic Shell Models of turbulence. (C) 2013 Published by Elsevier Ltd

引用

页码：122 / 139

页数：18

共 41 条

[1] Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients [J].