ICTP/SISSA Joint Colloquium - Orbital Stability of standing waves for the nonlinear Schrödinger equation.
Starts 16 Apr 2008 15:00
Ends 16 Apr 2008 20:00
Central European Time
Leonardo da Vinci Building Main Lecture Hall
Strada Costiera, 11
I - 34151 Trieste (Italy)
Standing waves are time-periodic solutions of the nonlinear Schrödinger equation having a special form. It is natural to investigate their stability with respect to perturbations of the initial condition. Orbital stability is the appropriate notion but the Hamiltonian structure of the problem means that a linearized analysis is insufficient to establish stability. After reviewing the main issues involved in such a study, we shall give a survey some results on this topic.