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Relaxation rates for a perturbation of a stationary solution to the thin-film equation
Elias EsselbornAbstract
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.
- Received:
- 20.04.15
- Published:
- 21.04.15
- MSC Codes:
- 35B40, 35K25, 35K55, 35K65, 35Q35
- Keywords:
- thin-film equation, stability of solutions, gradient flow