26 citations · 174 across the 43 of their papers we have counts for
6 papers · 2 filters
Energy scattering for a class of inhomogeneous biharmonic nonlinear Schrödinger equations in low dimensions
Van Duong Dinh, Sahbi Keraani
We consider a class of biharmonic nonlinear Schrödinger equations with a focusing inhomogeneous power-type nonlinearity \[ i\partial_t u -Δ^2 u+μΔu +|x|^{-b} |u|^αu=0, \quad \left.…
A system of inhomogeneous NLS arising in optical media with a nonlinearity, part I : Dynamics
Van Duong Dinh, Amin Esfahani
We study a system of inhomogeneous nonlinear Schrödinger equations that emerge in optical media with a nonlinearity. This nonlinearity, whose local strength is subject to…
Scattering for non-radial 3D NLS with combined nonlinearities: the interaction Morawetz approach
Jacopo Bellazzini, Van Duong Dinh, Luigi Forcella
We give a new proof of the scattering below the ground state energy level for a class of nonlinear Schrödinger equations (NLS) with mass-energy intercritical competing nonlineariti…
Blow-up of 2D attractive Bose-Einstein condensates at the crittical rotational speed
Van Duong Dinh, Dinh-Thi Nguyen, Nicolas Rougerie
We study the ground states of a 2D focusing non-linear Schrödinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value fr…
The 3D nonlinear Schrödinger equation with a constant magnetic field revisited
Van Duong Dinh
In this paper, we revisit the Cauchy problem for the three dimensional nonlinear Schrödinger equation with a constant magnetic field. We first establish sufficient conditions that…
Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed
Van Duong Dinh
We study the existence and stability of standing waves associated to the Cauchy problem for the nonlinear Schrödinger equation (NLS) with a critical rotational speed and an axially…