[HTML][HTML] Climate response using a three-dimensional operator based on the fluctuation–dissipation theorem
A Gritsun, G Branstator - Journal of the atmospheric sciences, 2007 - journals.ametsoc.org
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 …
Theorem in: Journal of the Atmospheric Sciences Volume 64 Issue 7 (2007) Jump to …
Ergodicity results for the stochastic Navier–Stokes equations: an introduction
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 …
advances those last 20 years. Existence and uniqueness have been studied in various …
Kinetic theory of jet dynamics in the stochastic barotropic and 2D Navier-Stokes equations
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 …
Gaussian stochastic fields with white in time correlation functions. This problem contains the …
[HTML][HTML] Ergodic BSDEs under weak dissipative assumptions
A Debussche, Y Hu, G Tessitore - Stochastic Processes and their …, 2011 - Elsevier
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 …
dropping the strong dissipativity assumption needed in Fuhrman et al.(2009)[12]. In other …
[HTML][HTML] Exponential ergodicity and regularity for equations with Lévy noise
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 …
solutions of SDEs driven by α-stable noises in finite and in infinite dimensions. Two …
Ergodicity for a weakly damped stochastic non-linear Schrödinger equation
A Debussche, C Odasso - Journal of Evolution Equations, 2005 - Springer
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 …
noise. It is white in time and smooth in space. Using a coupling method, we establish …
Exponential mixing for stochastic PDEs: the non-additive case
C Odasso - Probability theory and related fields, 2008 - Springer
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 …
partial differential equations (SPDE) driven by a non additive noise which is white in time …
[PDF][PDF] Ergodicity for the stochastic complex Ginzburg-Landau equations
C Odasso - Annales de l'IHP Probabilités et statistiques, 2006 - numdam.org
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 …
in space and we establish exponential convergence of the Markov transition semi-group …
Law of large numbers and central limit theorem for randomly forced PDE's
A Shirikyan - Probability theory and related fields, 2006 - Springer
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 …
condition that the distribution of perturbation is sufficiently non-degenerate, a strong law of …
Stochastic CGL equations without linear dispersion in any space dimension
S Kuksin, V Nersesyan - Stochastic Partial Differential Equations: Analysis …, 2013 - Springer
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 …
where ν> 0 and a ≥ 0, in a cube (or in a smooth bounded domain) with Dirichlet boundary …