CENTRA Seminar - Universality For Partial Differential Equations - 17 outubro 2013
Abstract / Resumo
In some strongly nonlinear regime, solutions of PDEs undergo a phase transition from a regular to a highly-oscillatory behaviour. The transition should be universal and exactly described by some known special functions, called Painleve transcendents. I will introduce this recent field of research focusing on one particular example, the semiclassical limit of the Korteweg-de Vries (KdV) equation. With the help of the audience, I will try to elucidate the similarity between the theory of universality for PDEs and the analogous and celebrated theory for second order phase transitions of statistical mechanics.
17 de outubro de 2013 | 14:30
Meeting room on the 2nd floor of the Physics Department building
Watch it live on: http://www.ustream.tv/channel/centra---ist-seminars (also available on CENTRA TV webpage)
Talks' slides: TBA
Recorder Seminar: http://www.ustream.tv/recorded/39922884