Localized solutions of wave equations on simplest geometric graphs

Mercredi 29 novembre 2017 15:00-16:00 - Anna Allilueva - MIPT, Moscow

Résumé : Behavior of solutions for evolution equations on geometric graphs was studied by various authors. In particular, a number of papers were devoted to the distribution of the number of localized (Gaussian) wave packets after multiple scattering on vertices ; this distribution is connected with well-known problems of the analytic number theory. However, a description of the distribution of energy appeared to be much more complicated. In the talk we discuss a construction of localized asymptotic solutions for wave equations and the distribution of their energy for simplest graphs.

Lieu : salle 229, bâtiment 440

Notes de dernières minutes : ATTENTION DOUBLE SEANCE

Localized solutions of wave equations on simplest geometric graphs  Version PDF