We study the speed of convergence of the explicit and implicit space-time discretization schemes of the solution u(t, x) to a parabolic partial differential equation in any dimension perturbed by aâ€¦ (More)

A LDP is proved for the inviscid shell model of turbulence. As the viscosity coefficient Î½ converges to 0 and the noise intensity is multiplied by Î½ , we prove that some shell models of turbulenceâ€¦ (More)

with Î³ = 1 if âˆ‚X âˆ‚x (t, 0) = âˆ‚X âˆ‚x (t, 1) = 0 and Î³ = âˆ’1 if X(t, 0) = X(t, 1) = 0. Consider the following assumption stronger than (H1): (H2) Ïƒ, b : R âˆ’â†’ R are Câˆž functions with bounded first orderâ€¦ (More)

Abstract. Stochastic evolution equations in Banach spaces with unbounded nonlinear drift and diffusion operators driven by a finite dimensional Brownian motion are considered. Under some regularityâ€¦ (More)

Starting from the construction of a geometric rough path associated with a fractional Brownian motion with Hurst parameter H âˆˆ]14 , 1 2 [ given by Coutin and Qian in [4], we prove a large deviationâ€¦ (More)

for z > 1 (see for instance [1], equation (42)). In (1.1), B denotes a standard dâ€“dimensional Brownian motion and in (1.2), (1.3), cH denotes a positive real constant depending on H. Let p âˆˆ]1, 4[ beâ€¦ (More)

Abstract. We prove a characterization of the support of the law of the solution for a stochastic wave equation with two-dimensional space variable, driven by a noise white in time and correlated inâ€¦ (More)

Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square rootâ€¦ (More)