## Instabilities and Spatio-temporal Chaos of Long-wave Hexagon Patterns in Rotating Marangoni Convection (2002)

by
A. M. Mancho
,
H Riecke
,
Fil Sain

### BibTeX

@MISC{Mancho02instabilitiesand,

author = {A. M. Mancho and H Riecke and Fil Sain},

title = {Instabilities and Spatio-temporal Chaos of Long-wave Hexagon Patterns in Rotating Marangoni Convection},

year = {2002}

}

### OpenURL

### Abstract

We consider surface-tension driven convection in a rotating uid layer. For nearly insulating boundary conditions we derive a long-wave equation for the convection planform. Using a Galerkin method and direct numerical simulations we study the stability of the steady hexagonal patterns with respect to general side-band instabilities. In the presence