48 citations · 255 across the 27 of their papers we have counts for
32 papers
Markovian reduction and exponential mixing in total variation for random dynamical systems
Sergei Kuksin, Armen Shirikyan
The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimen…
Mixing for dynamical systems driven by stationary noises
Sergei Kuksin, Armen Shirikyan
The paper deals with the problem of long-time asymptotic behaviour of solutions for classes of ODEs and PDEs, perturbed by stationary noises. The latter are not assumed to be -c…
Viscosity estimation for 2D pipe flows I. Construction, consistency, asymptotic normality
Thi Hien Nguyen, Armen Shirikyan
We consider the motion of incompressible viscous fluid in a rectangle, imposing the periodicity condition in one direction and the no-slip boundary condition in the other. Assuming…
Exponential stability of the flow for a generalised Burgers equation on a circle
Ana Djurdjevac, Armen Shirikyan
The paper deals with the problem of stability for the flow of the 1D Burgers equation on a circle. Using some ideas from the theory of positivity preserving semigroups, we establis…
Stabilisation of a viscous conservation law by a one-dimensional external force
Ana Djurdjevac, Armen Shirikyan
We study a damped scalar conservation law driven by the sum of a fixed external force and a localised one-dimensional control. The problem is considered in a bounded domain and is…
Rayleigh-Bénard convection with stochastic forcing localised near the bottom
Juraj Földes, Armen Shirikyan
We prove stochastic stability of the three-dimensional Rayleigh-Bénard convection in the infinite Prandtl number regime for any pair of temperatures maintained on the top and the b…