Amplitude equations: Natural slow-fast systems for SPDEs
Event details
| Date | 19.03.2012 |
| Hour | 10:15 › 11:15 |
| Speaker | Dirk Blömker |
| Location | |
| Category | Conferences - Seminars |
We consider systems near a change of stability (bifurcation). Due to the natural separation of time-scales into the slow dominant pattern and the remaining fast moving modes, the essential dynamics can be reduced to simpler equations, the so called amplitude equations.
In the talk we give an introduction to the topic and comment on the connection to random invariant manifolds. For simplicity of presentation, we focus only on the stochastic Swift-Hohenberg equation, which is a toy model for the convective instability in the model of Rayleigh and Benard.
As an application of the theory we present results on the stabilization of the dominant behaviour due to highly degenerate noise, that maps back onto the dominant pattern due to non-linear interaction.
In the talk we give an introduction to the topic and comment on the connection to random invariant manifolds. For simplicity of presentation, we focus only on the stochastic Swift-Hohenberg equation, which is a toy model for the convective instability in the model of Rayleigh and Benard.
As an application of the theory we present results on the stabilization of the dominant behaviour due to highly degenerate noise, that maps back onto the dominant pattern due to non-linear interaction.
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii