Stability analysis of phase boundary motion by surface diffusion with triple junction

• Autorzy: Harald Garcke , Kazuo Ito , Yoshihito Kohsaka
• Języki publikacji: EN

Abstrakty

EN

The linearized stability of stationary solutions for the surface diffusion flow with a triple junction is studied. We derive the second variation of the energy functional under the constraint that the enclosed areas are preserved and show a linearized stability criterion with the help of the $H^{-1}$-gradient flow structure of the evolution problem and the analysis of eigenvalues of a corresponding differential operator.

Kategorie tematyczne

• 35B35: Stability
• 35G30: Boundary value problems for nonlinear higher-order equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 83-101

Daty

wydano

2009

Twórcy

autor

Harald Garcke

• NWF I - Mathematik, Universität Regensburg, 93040 Regensburg, Germany

autor

Kazuo Ito

• Advanced Algorithms & Systems, Ebisu IS Building, Tokyo 150-0013, Japan

autor

Yoshihito Kohsaka

• Division of System Engineering for Mathematics, Muroran Institute of Technology, Muroran 050-8585, Japan

Identyfikatory

DOI

10.4064/bc86-0-5