Floating Fluids

I have my new problem to work on, it links in to some experimental work that some woman has been doing in France when he has been trying to make a fluid stick to an upturned electrode. I am top model the simple case when the diode, fluid and air are all dielectrics. I am supposed to look for waves in the solution and attack the linear and weakly nonlinear cases using the inviscid Euler equations and then move to to the viscous case which might be quite interesting. I come out of industry to learn lots of different mathematical techniques that I could take back into industry and be useful.