Si. Ei et al., STABILITY OF STATIONARY INTERFACES WITH CONTACT-ANGLE IN A GENERALIZED MEAN-CURVATURE FLOW, American journal of mathematics, 118(3), 1996, pp. 653-687
The dynamics of a moving hypersurface in a domain D subset of R(N) is
studied. It is assumed that the hypersurface moves depending on its cu
rvature, normal vector and position with the boundary that intersects
partial derivative D with a constant contact angle. A stability criter
ion about a stationary hypersurface is established in the form of an e
igenvalue problem, which includes geometrical information of partial d
erivative D and the stationary hypersurface.