Abstract:
Approximation by modulation, envelope or amplitude equations plays a fundamental role in the understanding of deterministic and stochastic systems, as they reduce high-dimensional dynamics of extended systems to simplified equations. Famous examples are the Korteweg-de Vries equation for the water wave problem, the deterministic and stochastic Ginzburg–Landau equation for several pattern-forming systems with and without stochastic perturbations, or the nonlinear Schrödinger equation in nonlinear optics. In this minisymposium we present applications and the latest developments in this field, both for deterministic and stochastic systems.
Organizers:
Dirk Blömker
Guido Schneider