text: ﬁlm is close to the saturation pressure. For alternative expressions that are used to describe the 
  
  non-conserved evaporative dynamics see, e.g., Refs. [56, 57, 65–69]. Finally, ∇ = (∂x, ∂y), and 
  
  ∂t, ∂x and ∂y denote partial derivatives w.r.t. time and the coordinates. 
  
  Focusing on the inﬂuence of capillarity and wettability only, the energy functional F [h] is given 
  
  by 
  (cid:90)  (cid:90) 
  
  (cid:104) γ 
  2 
  (cid:105) 
  (∇h)2 + f (h) − µh  F [h] =  dx  dy  (2) 
  
  7 