This paper concerns the Cauchy problem in R d for the stochastic Navier–Stokes equation∂
_t\mathbf u= Δ\mathbf u−(\mathbf u,∇)\mathbf u−∇ p+\mathbf f (\mathbf u)+(σ,∇)\mathbf …

An Introduction to 3D Stochastic Fluid Dynamics Page 1 An Introduction to 3D Stochastic Fluid
Dynamics Franco Flandoli Dipartimento Matematica Applicata “U. Dini”, Universit`a di Pisa …

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 …

A semilinear parabolic equation on R d with a non-additive random perturbation is studied.
The noise is supposed to be a spatially homogeneous Wiener process. Conditions for the …

Since Kolmogorov's theory, turbulence has been studied using various methods, many of
which could be now be understood in a probabilistic framework. Herein, a comprehensive …

Stochastic Two Dimensional Euler Equations Page 1 The Annals of Probability 2001, Vol. 29,
No. 4, 1796-1832 STOCHASTIC TWO DIMENSIONAL EULER EQUATIONS BY ZDZISLAW …

Martingale solutions of the stochastic Navier–Stokes equations in 2D and 3D possibly
unbounded domains, driven by the Lévy noise consisting of the compensated time …

In this paper we study the stochastic Navier–Stokes equations on the d-dimensional torus
with transport noise, which arise in the study of turbulent flows. Under very weak …

Abstract top Stochastic partial differential equations on ℝ d are considered. The noise is
supposed to be a spatially homogeneous Wiener process. Using the theory of stochastic …

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 …