51 citations · 179 across the 33 of their papers we have counts for
26 papers · 1 filter
Relaxation enhancement by controlling incompressible fluid flows
Kai Koike, Vahagn Nersesyan, Manuel Rissel +1
We propose a PDE-controllability based approach to the enhancement of diffusive mixing for passive scalar fields. Unlike in the existing literature, our relaxation enhancing fields…
Polynomial mixing for the white-forced Navier-Stokes system in the whole space
Vahagn Nersesyan, Meng Zhao
We study the mixing properties of the white-forced Navier-Stokes system in the whole space . Assuming that the noise is sufficiently non-degenerate, we prove the uniq…
On the chaotic behavior of the Lagrangian flow of the 2D Navier-Stokes system with bounded degenerate noise
Vahagn Nersesyan, Deng Zhang, Chenwan Zhou
We consider a fluid governed by the randomly forced 2D Navier-Stokes system. The force is bounded and highly degenerate, acting directly only on a small number of Fourier modes, an…
Global controllability of Boussinesq flows by using only a temperature control
Vahagn Nersesyan, Manuel Rissel
We show that buoyancy driven flows can be steered in an arbitrary time towards any state by applying as control only an external temperature profile in a subset of small measure. M…
Exponential mixing for the white-forced complex Ginzburg--Landau equation in the whole space
Vahagn Nersesyan, Meng Zhao
In the last two decades, there has been a significant progress in the understanding of ergodic properties of white-forced dissipative PDEs. The previous studies mostly focus on equ…
Localized and degenerate controls for the incompressible Navier-Stokes system
Vahagn Nersesyan, Manuel Rissel
We consider the global approximate controllability of the two-dimensional incompressible Navier-Stokes system driven by a physically localized and degenerate force. In other words,…