Some free boundary problems for moving drops: Existence and homogenization

Some free boundary problems for moving drops: Existence and homogenization

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Antoine Mellet , Maryland University
Fine Hall 314

We will present two simplified models describing the motion of a small liquid drop on a solid surface: the thin film equation and the quasi-static approximation. Existence and homogenization results for these models will be presented. Of particular interest to us is the description of a drop sliding down an inclined plane.