Exponential stability for a mirror–symmetric three phase boundary motion by surface diffusion

✍ Scribed by Joachim Escher; Harald Garcke; Kazuo Ito

• Book ID: 102490988
• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 187 KB
• Volume: 257
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310074

✦ Synopsis

Abstract

We apply the principle of linearized stability to prove that a stationary state is exponentially stable under a mirror–symmetric three phase boundary motion by surface diffusion. A main difficulty in the application of the linearized stability principle arises from the inhomogeneous nonlinear boundary conditions.