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math.PR2013★ 41 cited
Splitting up method for the 2D stochastic Navier-Stokes equations
Hakima Bessaih, Zdzislaw Brzezniak, Annie Millet
In this paper, we deal with the convergence of an iterative scheme for the 2-D stochastic Navier-Stokes Equations on the torus suggested by the Lie-Trotter product formulas for sto…
math.PR2006★ 17 cited
On strongly Petrovskii's parabolic SPDEs in arbitrary dimension and the stochastic Cahn-Hilliard equation
Caoline Cardon-Weber, Annie Millet
In this paper we show that the Cahn-Hilliard stochastic SPDE has a function valued solution in dimension 4 and 5 when the perturbation is driven by a space-correlated Gaussian nois…