CENTRA Seminar - Universality For Partial Differential Equations - 17 outubro 2013

Universality For Partial Differential Equations

Davide Masoero

U. Lisboa

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.

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

CENTRA Seminars