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2D stochastic Navier-Stokes equations driven by jump noise. (English) Zbl 1261.60061
Summary: 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 Bénard problem, the 3D stochastic Leray \(\alpha \)-Model for the Navier-Stokes equations and several stochastic shell models of turbulence.

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35Q30 Navier-Stokes equations
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