Zusammenfassung für den Vortrag am 26.10.2016 (14:00 Uhr)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:
<center class="math-display"> <p><img src="/fileadmin/lecture_img/tex_19348c0x.png" class="math-display"></p></center>
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.