Dispersive shock waves and Riemann problems in nonlinear optics
Wednesday, the 4th December at 4 PM,
Room 3 Pinchat
Prof. Stefano Trillo聽
玉美人传媒 of Ferrara (Italy),聽
Abstract
We discuss recent experiments (in collaboration with 玉美人传媒 of Lille) on the formation and propagation of dispersive shock waves in nonlinear fiber optics. In particular we address the role of dispersive shocks in the so-called Riemann problem, i.e., the evolution of step-like initial data, which encompasses many case studies in fluidodynamics, like the dam-breaking problem for water waves or the piston problem in gas dynamics. We discuss analogies and important differences with these phenomena.