Nonlinear dispersive equations – blowup, solitons and long-time behavior

Organizer of this minisymposium is

In the past years incredible progress has been made concerning the analytic investigation of the behavior of solutions to nonlinear dispersive PDEs. Solitary waves and self-similar solutions have turned out to play an important role, e.g. in the characterization of global solutions (soliton resolution) or in the description of blowup mechanisms (threshold theorems, stable blowup dynamics). The aim of this minisymposium is to discuss recent results on nonlinear wave and Schrödinger equations, including geometric problems and half-/higher-order variants.