51 citations · 179 across the 33 of their papers we have counts for
5 papers · 1 filter
Exponential mixing under controllability conditions for SDEs driven by a degenerate Poisson noise
Vahagn Nersesyan, Renaud Raquépas
We prove existence and uniqueness of the invariant measure and exponential mixing in the total-variation norm for a class of stochastic differential equations driven by degenerate…
Ergodicity for the randomly forced Navier-Stokes system in a two-dimensional unbounded domain
Vahagn Nersesyan
The ergodic properties of the randomly forced Navier-Stokes system have been extensively studied in the literature during the last two decades. The problem has always been consider…
Large deviations and entropy production in viscous fluid flows
Vojkan Jaksic, Vahagn Nersesyan, Claude-Alain Pillet +1
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 tha…
Mixing via controllability for randomly forced nonlinear dissipative PDEs
Sergei Kuksin, Vahagn Nersesyan, Armen Shirikyan
We continue our study of the problem of mixing for a class of PDEs with very degenerate noise. As we established earlier, the uniqueness of stationary measure and its exponential s…
Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension
Vahagn Nersesyan
In this paper, we consider a parabolic PDE on a torus of arbitrary dimension. The nonlinear term is a smooth function of polynomial growth of any degree. In this general setting, t…