Summer school: Non-linear quantum graphs
The CERAMATHS mathematics department will be hosting a summer school from June 17 to 21 on the study of differential equation problems, whose special feature is that the domain of definition of solutions is a metric graph
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The nonlinear Schrödinger equation is a ubiquitous model in physics, with numerous applications in fields as diverse as Bose-Einstein condensation and nonlinear optics. In many physical situations, the underlying space is essentially one-dimensional and can be modeled as a metric graph, i.e. a collection of vertices and edges of finite or infinite length. The mathematical study of this type of model is very recent and is gaining considerable momentum.
The aim of this school is to introduce participants to this subject. There will be four courses on the following topics, covering both theoretical and numerical aspects:
- S. Dovetta (Politecnico di Torino, Turin, Italy): Variational methods for nonlinear Schrödinger equations on metric graphs
- R. Goodman (New Jersey Institute of Technology, U. Heights, Newark, NJ, USA): A consistent numerical approach to quantum graph computations
- D. Mugnolo (University of Ulm, Ulm, Germany): Spectral geometry of metric graphs and further branched spaces
- D. Noja (Università di Milano Bicocca, Milan, Italy): Time dependent NLS equation on metric graphs: Standing waves and their stability
The school is aimed at PhD students or advanced students as well as PDE researchers. Classes will take place in amphi 200S (Abel de Pujol 1). More information can be found on the school page