Liquid drops sliding down an inclined plane

Kim, Inwon; Mellet, Antoine

doi:10.1090/S0002-9947-2014-06236-3

Liquid drops sliding down an inclined plane
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by Inwon Kim and Antoine Mellet PDF

Trans. Amer. Math. Soc. 366 (2014), 6119-6150 Request permission

Abstract:

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.

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