Liquid drops sliding down an inclined plane

Details Liquid drops sliding down an inclined plane Liquid drops sliding down an inclined plane

2012-03-13

arxiv.org/abs/1203.2942v1

Mathematics

Analysis of PDEs

33 pages, 2 figures

Scientific paper

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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