Joint ICTP-SISSA Colloquium, prof. C. Stuart 16 April at 14 hrs.

[Barbara Corzani]

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JOINT ICTP-SISSA Colloquium
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Prof. 
Charles Stuart
(EPFL - Lausanne)


Title:
"Orbital stability of standing waves for the nonlinear  
Schr¨odinger equation"


Wed.  16 April 2008  @  02.00 p.m.

ICTP Main Lecture Hall (Main Building, entrance level)

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ABSTRACT:
Standing waves are time-periodic solutions of the nonlinear Schr¨odinger 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.