Manuela Girotti (Colorado State University) : Rigorous asymptotics of the KdV soliton gas

Tuesday 29 May 2018, 15:00 → 16:00 Europe/Brussels

CYCL 02 (MdeHemptinne)

Abstract: We analytically study the long time and large space asymptotics of a KdV soliton gas. A soliton gas can be thought as an infinite collection of interacting solitons randomly distributed on the line. The concept was originally introduced by Zakharov (1971). From a 2x2 Riemann-Hilbert problem and via non-linear steepest descent techniques, we are able to extract meaningful
information for the solution of the KdV equation in such (random) setting. This is a joint work with Ken McLaughlin (CSU) and Tamara Grava (SISSA).