October 7, 2015
Speaker: Dr. Maxime Gazeau, University of Toronto, Department of Mathematics
Title: Some results on a coupled schrödinger equation driven by random forces
Abstract: The coupled schrodinger equation was derived in nonlinear optics to model the light propagation in optical fibers. Random forces were then added to take into account a new physical phenomena known as the birefringence.
After stating the domain of validity of the equation and making some assumptions, I will explain how to derive an asymptotic dynamics given by a stochastic partial differential equation driven by three Brownian motions. I will also give some numerical results and illustrations related to this equation.