Error estimates on homogenization of free boundary velocities in periodic media
نویسنده
چکیده
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.
منابع مشابه
Estimates on the convergence rate of oscillating free boundaries
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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In this note I describe a recent result ([14]-[15]) on homogenization and error estimates of a free boundary problem, which describes quasi-static contact angle dynamics on inhomogeneous surface. The method presented here also applies to more general class of free boundary problems with oscillating boundary velocities. Let us define ei ∈ IR, i = 1, ..., n such that e1 = (1, 0, .., 0), e2 = (0, ...
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