Thick drops on a slowly oscillating substrate

We examine the evolution of a liquid drop on an inclined substrate oscillating vertically. The oscillations are weak and slow, which makes the liquid's inertia and viscosity negligible (so that the drop's shape is determined by a balance of surface tension, gravity, and vibration-induced inertial force). No assumptions are made about the drop's thickness, which extends our previous results on thin drops to more realistic situations. It is shown that, if the amplitude of the substrate's oscillations exceeds a certain threshold value E_*, the drop climbs uphill. E _*, however, strongly depends on the thickness of the drop, which, in turn, depends on the liquid's equilibrium contact angle β̄. In particular, there is a dramatic decrease in E_* when β̄ exceeds a certain threshold, which means that thick drops climb uphill for a much weaker vibration of the substrate. At the same time, the frequency range of the substrate's vibration within which drops climb uphill becomes much narrower.