38 citations · 85 across the 12 of their papers we have counts for
18 papers
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…
A PDE approach to Benamou--Brenier formula for the Schrödinger problem
Mattia Garatti, Luca Nenna, Simona Rota Nodari +1
We studied the Benamou--Brenier formulation of the Schrödinger problem, focusing on a gap between theoretical results and applications, that often involve measures with unbounded s…
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…
Modulational instability in optical fibers with randomly-kicked normal dispersion
G. Dujardin, A. Armaroli, S. Rota Nodari +5
We study modulational instability (MI) in optical fibers with random group velocity dispersion (GVD) generated by sharply localized perturbations of a normal GVD fiber that are eit…