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

Tom 86 / 2009

Harald Garcke, Kazuo Ito, Yoshihito Kohsaka Banach Center Publications 86 (2009), 83-101 MSC: Primary 35G30; Secondary 35B35. DOI: 10.4064/bc86-0-5

Streszczenie

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.

Autorzy

  • Harald GarckeNWF I – Mathematik
    Universität Regensburg
    93040 Regensburg, Germany
    e-mail
  • Kazuo ItoAdvanced Algorithms & Systems
    Ebisu IS Building
    Tokyo 150-0013, Japan
    e-mail
  • Yoshihito KohsakaDivision of System Engineering for Mathematics
    Muroran Institute of Technology
    Muroran 050-8585, Japan
    e-mail

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