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MiS Preprint
27/2015
Relaxation rates for a perturbation of a stationary solution to the thin-film equation
Elias Esselborn
Abstract
In this work we study the stability of a stationary solution to the thin-film equation with linear mobility and partial wetting boundary conditions. The method used is strongly based on the gradient-flow structure of the problem. We obtain natural relaxation rates of perturbations to the stationary solution by showing that the energy is in fact convex in a neighborhood around the stationary solution.
