Premium
Exponential stability for a mirror–symmetric three phase boundary motion by surface diffusion
Author(s) -
Escher Joachim,
Garcke Harald,
Ito Kazuo
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310074
Subject(s) - mathematics , mathematical analysis , boundary (topology) , stability (learning theory) , nonlinear system , motion (physics) , classical mechanics , physics , quantum mechanics , machine learning , computer science
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.