Nonlinear Stability of Stationary Solutions for Surface Diffusion with Boundary Conditions
作者： Harald Garcke , Kazuo Ito , Yoshihito Kohsaka
DOI: 10.1137/070694752
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摘要: The volume-preserving fourth order surface diffusion flow has constant mean curvature hypersurfaces as stationary solutions. We show nonlinear stability of certain curves in the plane which meet an exterior boundary with a prescribed contact angle. Methods include semigroup theory, energy arguments, geometric analysis, and variational calculus.
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