2D stochastic Navier–Stokes equations driven by jump noise

Zdzisław Brzeźniak,Erika Hausenblas,Jiahui Zhu

doi:10.1016/j.na.2012.10.011

2D stochastic Navier–Stokes equations driven by jump noise

Zdzisław Brzeźniak, Erika Hausenblas + Show 1 more

https://doi.org/10.1016/j.na.2012.10.011

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Journal: Nonlinear Analysis	Publication Date: Dec 20, 2012
Citations: 78

Affiliation: University of York, Montanuniversität Leoben, Zhejiang University of Finance and Economics, Delft University of Technology

#Navier Stokes Equations #Stochastic Navier + Show 8 more

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Abstract

In the paper, we are studying the existence and uniqueness of the solution of an abstract nonlinear equation driven by a multiplicative noise of Lévy 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 Bénard Convection, the 2D stochastic Magnetic Bérnard Problem, the 3D stochastic Leray α-Model for the Navier–Stokes Equations and several stochastic Shell Models of turbulence.

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