3 papers
math.AP2026
A toy model for frequency cascade in the nonlinear Schrodinger equation
Rémi Carles, Erwan Faou
We present an elementary approach to observe frequency cascade on forced nonlinear Schr{ö}dinger equations. The forcing term (which may also appear as a potential term instead) co…
math.AP2026
On scattering for NLS: rigidity properties and numerical simulations via the lens transform
Rémi Carles, Georg Maierhofer
We analyse the scattering operator associated with the defocusing nonlinear Schr{ö}dinger equation which captures the evolution of solutions over an infinite time-interval under t…
math.AP2025
Small-time approximate controllability of the logarithmic Schr\''dinger equation
Karine Beauchard, Rémi Carles, Eugenio Pozzoli
We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on or . We prove their small-time global -approxim…