12 citations · 17 across the 7 of their papers we have counts for
27 papers
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.…
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…
Long time dynamics of non-radial solutions to inhomogeneous nonlinear Schrödinger equations
Van Duong Dinh, Sahbi Keraani
We study long time dynamics of non-radial solutions to the focusing inhomogeneous nonlinear Schrödinger equation. By using the concentration/compactness and rigidity method, we est…
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with nonlinear response
Alex H. Ardila, Van Duong Dinh, Luigi Forcella
We study the asymptotic dynamics for solutions to a system of nonlinear Schrödinger equations with cubic interactions, arising in nonlinear optics. We provide sharp threshold crite…
Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction
Van Duong Dinh, Luigi Forcella
We establish blow-up results for systems of NLS equations with quadratic interaction in anisotropic spaces. We precisely show finite time blow-up or grow-up for cylindrical symmetr…