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math.PR2012★ 2 cited
Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise
Viorel Barbu, Zdzisław Brzeźniak, Erika Hausenblas +1
The solution to a nonlinear stochastic differential equation of the form $dX_n(t)+A_n(t)X_n(t)\,dt-\tfrac12\sum_{j=1}^N(B_j^n(t))^2X_n(t)\,dt=\sum_{j=1}^N B_j^n(t)X_n(t)dβ_j^…
math.PR2012
Existence of a martingale solution of the stochastic Navier-Stokes equations in unbounded 2D and 3D-domains
Zdzisław Brzeźniak, Elżbieta Motyl
Stochastic Navier-Stokes equations in 2D and 3D possibly unbounded domains driven by a multiplicative Gaussian noise are considered. The noise term depends on the unknown velocity…