Climate Response Using a Three-Dimensional Operator Based on the Fluctuation–Dissipation
Theorem in: Journal of the Atmospheric Sciences Volume 64 Issue 7 (2007) Jump to …

The theory of the stochastic Navier–Stokes equations (SNSE) has known a lot of important
advances those last 20 years. Existence and uniqueness have been studied in various …

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 …

In this paper we study ergodic backward stochastic differential equations (EBSDEs)
dropping the strong dissipativity assumption needed in Fuhrman et al.(2009)[12]. In other …

We prove exponential convergence to the invariant measure, in the total variation norm, for
solutions of SDEs driven by α-stable noises in finite and in infinite dimensions. Two …

We study a damped stochastic non-linear Schrödinger (NLS) equation driven by an additive
noise. It is white in time and smooth in space. Using a coupling method, we establish …

We establish a general criterion which ensures exponential mixing of parabolic stochastic
partial differential equations (SPDE) driven by a non additive noise which is white in time …

We study a stochastic Complex Ginzburg–Landau (CGL) equation driven by a smooth noise
in space and we establish exponential convergence of the Markov transition semi-group …

We consider a class of dissipative PDE's perturbed by an external random force. Under the
condition that the distribution of perturbation is sufficiently non-degenerate, a strong law of …

We consider the stochastic CGL equation ̇ u-ν Δ u+ (i+ a)| u|^ 2u= η (t, x),\quad dim\, x= n,
where ν> 0 and a ≥ 0, in a cube (or in a smooth bounded domain) with Dirichlet boundary …