Abstract for the talk on 26.10.2016 (14:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Luigi Amedeo Bianchi (TU Berlin)
Amplitude equations for stochastic Swift-Hohenberg equatio
We consider a mathematical model for the Rayleigh-Benard convection, the stochastic Swift-Hohenberg equation:
Near its change of stability, the fluid’s motion can be described in a multiscale setting as the product of a slowly varying amplitude equation and a faster periodic wave. After an introduction to the problem in its deterministic setting, we’ll review some known stochastic results and see some recent developments in the unbounded space domain setting.