Mathematical Physics and Harmonic Analysis Seminar
Date: October 13, 2017
Time: 1:50PM - 2:50PM
Location: BLOC 628
Speaker: Dmitri Pelinovsky, McMaster University
Title: Nonlinear Schrodinger equation on the periodic graph
Abstract: With a multiple scaling expansion, an effective amplitude equation can be derived for an oscillating wave packet. Using Bloch wave analysis and energy methods, we estimate the distance between the macroscopic approximation which is obtained via the amplitude equation and true solutions of the NLS equation on the periodic metric graph. These approximations are discussed in the context of bifurcations of standing localized waves on the periodic metric graphs. This work is joint with Guido Schneider (Stuttgart).