The nonlinear Benjamin-Ono equation on the torus is approximately controllable in L2 with 2D input, implying almost-sure unbounded Sobolev growth for nondegenerate random forcing.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Exponential mixing to a unique invariant measure is established for locally damped NLS with bounded degenerate noise on two modes using a new criterion based on asymptotic compactness of the linearized system.
Proves small-time approximate controllability of bilinear Schrödinger equations with magnetic drift under uniform magnetic field with generic controls and under finite-mode controls with general differentiable magnetic potentials.
citing papers explorer
-
The Benjamin-Ono equation with 2D control input: approximate controllability and its application
The nonlinear Benjamin-Ono equation on the torus is approximately controllable in L2 with 2D input, implying almost-sure unbounded Sobolev growth for nondegenerate random forcing.
-
Exponential mixing for nonlinear Schr\"odinger equations perturbed by bounded degenerate noise
Exponential mixing to a unique invariant measure is established for locally damped NLS with bounded degenerate noise on two modes using a new criterion based on asymptotic compactness of the linearized system.
-
Approximate controllability in small times of bilinear Schr{\"o}dinger equations with magnetic drift
Proves small-time approximate controllability of bilinear Schrödinger equations with magnetic drift under uniform magnetic field with generic controls and under finite-mode controls with general differentiable magnetic potentials.