Nonlinear Quantum Graphs are metric graphs, i.e. graphs for which edges are considered with a metric structure, equipped with a nonlinear Schrödinger equation. They are of interest both from the physical point of view, as they are simplified model of the dynamics in elongated structures, and the mathematical point of view, as their analysis poses new and interesting challenges. Nonlinear Quantum Graphs have been the object of intensive investigations these last years. The goal of this school is to introduce the participants to this topic. Both analytical and numerical perspectives will be adopted. The courses are:
S. Dovetta : Variational methods for nonlinear Schrödinger equations on metric graphs
R. Goodman : A consistent numerical approach to quantum graph computations
D. Mugnolo : Spectral geometry of metric graphs and further branched spaces
D. Noja : Time dependent NLS equation on metric graphs: Standing waves and their stability
For the course of Professor Goodman, to make the most of the hands-on sessions, we encourage participants to bring their own laptops with Matlab installed, if possible.
Registration information
For organization and space purposes registration is free but mandatory, and subject to the approval of the organizing committee.
To apply for registration, please complete the provided form before May 17.
Complimentary lunches will be provided for all participants; however, to minimize food wastage, kindly specify your lunch preferences in the registration form.
There will be also a poster session. If you wish to present a poster, please check the corresponding box in the registration form and send the title and abstract of the poster as well as a CV to the organizers (nqg@sciencesconf.org) before May 17.