Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Nersesyan, Vahagn"'
Autor:
Nersesyan, Vahagn, Zhao, Meng
We study the mixing properties of the white-forced Navier-Stokes system in the whole space $\mathbb{R}^2$. Assuming that the noise is sufficiently non-degenerate, we prove the uniqueness of stationary measure and polynomial mixing in the dual-Lipschi
Externí odkaz:
http://arxiv.org/abs/2410.15727
We consider a fluid governed by the randomly forced 2D Navier-Stokes system. It is assumed that the force is bounded, acts directly only on a small number of Fourier modes, and satisfies some natural decomposability and observability properties. Unde
Externí odkaz:
http://arxiv.org/abs/2406.17612
Autor:
Nersesyan, Vahagn, Rissel, Manuel
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. More specifically, we prove that the 2D incompressible Boussinesq syste
Externí odkaz:
http://arxiv.org/abs/2404.09903
We provide deterministic controllability conditions that imply exponential mixing properties for randomly forced constrained dynamical systems with possibly unbounded state space. As an application, new ergodicity results are obtained for non-smooth
Externí odkaz:
http://arxiv.org/abs/2403.16058
Autor:
Nersesyan, Vahagn, Zhao, Meng
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 equations posed on bounded domains since they rely on different compactne
Externí odkaz:
http://arxiv.org/abs/2308.04918
Autor:
Nersesyan, Vahagn, Rissel, Manuel
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, the fluid is regulated via four scalar controls that depend only on t
Externí odkaz:
http://arxiv.org/abs/2212.01221
Autor:
Duca, Alessandro, Nersesyan, Vahagn
We consider the 1D nonlinear Schr\"odinger equation with bilinear control. In the case of Neumann boundary conditions, local exact controllability of this equation near the ground state has been proved by Beauchard and Laurent in arXiv:1001.3288. In
Externí odkaz:
http://arxiv.org/abs/2202.08723
The purpose of this paper is to establish the Donsker-Varadhan type large deviations principle (LDP) for the two-dimensional stochastic Navier-Stokes system. The main novelty is that the noise is assumed to be highly degenerate in the Fourier space.
Externí odkaz:
http://arxiv.org/abs/2201.12977
Autor:
Nersesyan, Vahagn
In the paper arXiv:1802.03250, a criterion for exponential mixing is established for a class of random dynamical systems. In that paper, the criterion is applied to PDEs perturbed by a noise localised in the Fourier space. In the present paper, we sh
Externí odkaz:
http://arxiv.org/abs/2103.06493
Autor:
Duca, Alessandro, Nersesyan, Vahagn
We consider the nonlinear Schr\"odinger equation (NLS) on a torus of arbitrary dimension. The equation is studied in presence of an external potential field whose time-dependent amplitude is taken as control. Assuming that the potential satisfies a s
Externí odkaz:
http://arxiv.org/abs/2101.12103