38 citations · 85 across the 12 of their papers we have counts for
12 papers · 1 filter
A quasi-linear Schr{ö}dinger equation for nucleons : existence, uniqueness and asymptotic behavior
Meriem Bahhi, Jonas Lampart, Simona Rota Nodari
We study a quasi-linear Schr{ö}dinger-type equation arising in the description of particle dynamics within atomic nuclei. Under suitable assumptions on the model parameters, we est…
Standing wave solutions of a quasilinear Schrödinger equation in the small frequency limit
François Genoud, Simona Rota Nodari
This article is concerned with the quasilinear Schrödinger equation \[ Δu-ωu+|u|^{p-1}u+δΔ(|u|^2)u=0, \] where , and or and . After p…
A simple testbed for stability analysis of quantum dissipative systems
Thierry Goudon, Simona Rota Nodari
We study a two-state quantum system with a non linearity intended to describe interactions with a complex environment, arising through a non local coupling term. We study the stabi…
The Dirac-Klein-Gordon system in the strong coupling limit
Jonas Lampart, Loïc Le Treust, Simona Rota Nodari +1
We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions t…
On a nonlinear Schr{ö}dinger equation for nucleons in one space dimension
Christian Klein, Simona Rota Nodari
We study a 1D nonlinear Schr{ö}dinger equation appearing in the description of a particle inside an atomic nucleus. For various nonlinearities, the ground states are discussed and…
Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups
Stephan De Bievre, Simona Rota Nodari
We consider the orbital stability of relative equilibria of Hamiltonian dynamical systems on Banach spaces, in the presence of a multi-dimensional invariance group for the dynamics…