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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…
math.AP2019
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…
math.AP2019
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…