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math.AP2021
The complex Ginzburg-Landau equation perturbed by a force localised both in physical and Fourier spaces
Vahagn Nersesyan
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…
math.AP2021★ 1 cited
Bilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation
Alessandro Duca, Vahagn Nersesyan
We consider the nonlinear Schrödinger equation (NLS) on a torus of arbitrary dimension. The equation is studied in presence of an external potential field whose time-dependent ampl…