Error estimates on homogenization of free boundary velocities in periodic media

Inwon C. Kim · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2008

In this paper we consider a free boundary problem which describes contact angle dynamics on inhomogeneous surface. We obtain an estimate on convergence rate of the free boundaries to the homogenization limit in periodic media. The method presented here also applies to more general class of free boundary problems with oscillating boundary velocities.

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