Mathematics – Classical Analysis and ODEs
Scientific paper
2007-07-18
Mathematics
Classical Analysis and ODEs
28 pages, 9 figures
Scientific paper
We prove the invariance of the contact angle in liquid-solid wetting phenomena : an electrified droplet is spreading on a solid surface. The drop is minimizing its energy. We express the differential of this energy with respect to the shape of the drop and deduce necessary conditions for optimality . By variational method, using well-chosen test functions, we obtain the main result about the contact angle between the drop and the solid.
Scheid C.
Witomski P.
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