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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).