Amplitude equations for magnetic buoyancy instabilities and symmetry breaking
by
Dhrubaditya Mitra
→
Europe/Stockholm
122:026
122:026
Description
First I shall give a long introduction to the method of multiple scales by deriving the
nonlinear amplitude equation for the Van der Pol oscillator.
Next I shall show how such multiscale methods can be applied to study
Rayleigh-Bernard convection beyond linear stability by writing down the
amplitude equations. Finally I shall show upon how such amplitude equations
must be generalised for instabilties that break parity. Such amplitude equations
are useful to study the symmetry breaking we have numerically observed
in magnetic buoyancy instabilities.
