Instabilities of a droplet on a liquid substrate heated from below under the action of vibration

The action of vibration on Marangoni flows in a droplet on a liquid substrate heated from below is investigated. The analysis has been carried out using a closed system of strongly nonlinear equations. The problem is studied numerically in the framework of longwave amplitude equations and the precursor model. It is shown that vibrations slightly affect the average (inkpot) shape of the droplet.