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arXiv · 1203.2942

Liquid drops sliding down an inclined plane

Inwon Kim·Antoine Mellet
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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 medium (i.e. constant and non-constant contact angle). We also obtain some homogenization results.

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Inwon Kim, Antoine Mellet. 2012-03-13. Liquid drops sliding down an inclined plane. https://arxiv.org/abs/1203.2942

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