We discuss the dynamics of zonal (or unidirectional) jets for barotropic flows forced by
Gaussian stochastic fields with white in time correlation functions. This problem contains the …

We investigate a class of simple models for Langevin dynamics of turbulent flows, including
the one-layer quasi-geostrophic equation and the two-dimensional Euler equations. Starting …

The irreducibility, moderate deviation principle and ψ-uniformly exponential ergodicity with
ψ (x):= 1+∥ x∥ 0 are proved for stochastic Burgers equation driven by the α-stable …

The irreducibility is fundamental for the study of ergodicity of stochastic dynamical systems.
In the literature, there are very few results on the irreducibility of stochastic partial differential …

We study the motion of a particle in a random time-dependent vector field defined by the 2D
Navier–Stokes system with a noise. Under suitable non-degeneracy hypotheses we prove …

The present work deals with the global solvability as well as asymptotic analysis of the
stochastic generalized Burgers–Huxley (SGBH) equation perturbed by a white-in-time and …

We study the ergodicity of stochastic reaction–diffusion equation driven by subordinate
Brownian motion. After establishing the strong Feller property and irreducibility of the …

In this paper, we consider the 2D Navier–Stokes system driven by a white-in-time noise. We
show that the occupation measures of the trajectories satisfy a large deviations principle …

The present work is concerned with two-dimensional stochastic subcritical and critical
convective Brinkman-Forchheimer (2 D SCBF) equations perturbed by a white noise (non …

We study the large deviation principle (LDP) for locally damped nonlinear wave equations
perturbed by a bounded noise. When the noise is sufficiently non-degenerate, we establish …