Liquid drops sliding down an inclined plane
Inwon Kim, Antoine Mellet · Transactions of the American Mathematical Society · 2014
We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long-time behavior for both homogeneous and inhomogeneous media (i.e. constant and non-constant contact angle). We also obtain some homogenization results.