Mathematical Physics and Harmonic Analysis Seminar

Date: February 24, 2017

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Jeremy Marzuola, University of North Carolina

Title: Ground states for nonlinear Schrödinger equation on a dumbbell graph

Abstract: With Dmitry Pelinovsky, we describe families of standing waves on a closed quantum graph in the shape of a dumbbell, namely having two loops connected by a link with Kirchhoff boundary conditions.  We describe symmetry breaking bifurcations and prove a remarkable asymptotic property that is a bit surprising in terms of the energy minimizing solutions at a given mass.