Brzeźniak, Zdzisław; Hausenblas, Erika; Zhu, Jiahui 2D stochastic Navier-Stokes equations driven by jump noise. (English) Zbl 1261.60061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 79, 122-139 (2013). 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. Cited in 58 Documents MSC: 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 35Q30 Navier-Stokes equations Keywords:stochastic Navier-Stokes equations; Lévy noise PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 79, 122--139 (2013; Zbl 1261.60061) Full Text: DOI