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 …

We consider the stochastic Navier-Stokes equations forced by a multiplicative white noise
on a bounded domain in space dimensions two and three. We establish the local existence …

In this paper we establish the local and global existence and uniqueness of solutions for
general nonlinear evolution equations with coefficients satisfying some local monotonicity …

We show strong convergence with rates for an implicit time discretization, a semi-implicit
time discretization, and a related finite element based space-time discretization of the …

The existence of martingale solutions of the hydrodynamic-type equations in 3D possibly
unbounded domains is proved. The construction of the solution is based on the Faedo …

The stochastic three-dimensional compressible Navier-Stokes equations are considered in
a bounded domain with multiplicative noise. The global existence of martingale solution is …

We study a dynamical large deviation principle for global solutions to the three-dimensional
Landau-Lifschitz-Navier-Stokes equations with spatially correlated noise, in a scaling …

We establish the existence and uniqueness of a local smooth solution to the Cauchy
problem for the Hall-magnetohydrodynamics system that is inviscid, resistive, and forced by …

We establish the existence of local strong solutions to the stochastic Navier-Stokes
equations in ℝ3. When the noise is multiplicative and non-degenerate, we show the …

In this paper, the three-dimensional stochastic nonhomogeneous incompressible Navier–
Stokes equations driven by Lévy processes consisting of the Brownian motion, the …