KO-8   Monday July 8 - 14:00

MS10 Part 1 of 2 - Modulation equations

MS10 Part 2 of 2

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.

Dirk Blömker
Guido Schneider

14:00 - 14:30 - Christian Kuehn - Nonlocal PDE and Modulation Equations [Abstract]

14:30 - 15:00 - Wolf-Patrick Düll - Validity of the Nonlinear Schrödinger Approximation for the Two-Dimensional Water Wave Problem With and Without Surface Tension [Abstract]

15:00 - 15:30 - Nathan Totz - Global Well-Posedness and Higher Sobolev Bounds for Non-Focusing NLS Equations on Mixed Domains [Abstract]

15:30 - 16:00 - Daniel Ratliff - Entirely Out of Character? Dispersive Dynamics in the Moving Frame [Abstract]