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math.AP2017
Fractional stochastic Burgers-Type Equation in Hölder space -wellposedness and approximations-
Zineb Arab, Latifa Debbi
In this work, we use the spectral Galerkin method to prove the existence of a pathwise unique mild solution of a fractional stochastic partial differential equation of Burgers type…
math.AP2013
On the fractional stochastic Navier-Stokes equations on the torus and on bounded domains
Latifa Debbi
In this work, we introduce and study the well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on bounded domains and on the torus (Briefly dD-FSNSE)…
math.AP2012
Fractional stochastic active scalar equations generalizing the multi-D-Quasi-Geostrophic & 2D-Navier-Stokes equations. -Short note-
Latifa Debbi
We prove the well posedness: global existence, uniqueness and regularity of the solutions, of a class of d-dimensional fractional stochastic active scalar equations. This class inc…