[BOOK][B] Effective dynamics of stochastic partial differential equations
J Duan, W Wang - 2014 - books.google.com
Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial
differential equations with slow and fast time scales, or large and small spatial scales. The …
differential equations with slow and fast time scales, or large and small spatial scales. The …
Two-dimensional Navier–Stokes equations driven by a space–time white noise
We study the two-dimensional Navier–Stokes equations with periodic boundary conditions
perturbed by a space–time white noise. It is shown that, although the solution is not …
perturbed by a space–time white noise. It is shown that, although the solution is not …
Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations
M Hairer, JC Mattingly - 2008 - projecteuclid.org
We develop a general method to prove the existence of spectral gaps for Markov
semigroups on Banach spaces. Unlike most previous work, the type of norm we consider for …
semigroups on Banach spaces. Unlike most previous work, the type of norm we consider for …
An introduction to 3D stochastic fluid dynamics
S Albeverio, F Flandoli, YG Sinai, F Flandoli - SPDE in Hydrodynamic …, 2008 - Springer
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 …
Dynamics Franco Flandoli Dipartimento Matematica Applicata “U. Dini”, Universit`a di Pisa …
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 …
Navier–Stokes equations: controllability by means of low modes forcing
We study controllability issues for 2D and 3D Navier–Stokes (NS) systems with periodic
boundary conditions. The systems are controlled by a degenerate (applied to few low …
boundary conditions. The systems are controlled by a degenerate (applied to few low …
On ergodicity of some Markov processes
T Komorowski, S Peszat, T Szarek - 2010 - projecteuclid.org
We formulate a criterion for the existence and uniqueness of an invariant measure for a
Markov process taking values in a Polish phase space. In addition, weak-* ergodicity, that is …
Markov process taking values in a Polish phase space. In addition, weak-* ergodicity, that is …
[PDF][PDF] A Coupling Approach¶ to Randomly Forced Nonlinear PDE's. I
A Coupling Approach to Randomly Forced Nonlinear PDE’s. I Page 1 Commun. Math. Phys. 221,
351 – 366 (2001) Communications in Mathematical Physics © Springer-Verlag 2001 A Coupling …
351 – 366 (2001) Communications in Mathematical Physics © Springer-Verlag 2001 A Coupling …
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 …
Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
V Nersesyan - Annales de l'Institut Henri Poincaré C, Analyse Non …, 2010 - Elsevier
We prove that the Schrödinger equation is approximately controllable in Sobolev spaces Hs,
s> 0, generically with respect to the potential. We give two applications of this result. First, in …
s> 0, generically with respect to the potential. We give two applications of this result. First, in …