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A Phase-Field Model for Diffusion-Induced Grain Boundary Motion

  • Klaus Deckelnick
Conference paper
Part of the Progress in Mathematics book series (PM, volume 202)

Abstract

We consider a phase-field model for diffusion-induced grain boundary motion. This model couples a parabolic variational inequality to a degenerate diffusion equation. We summarize recent results on existence and uniqueness, sharp interface limits and numerical discretization.

Keywords

Free Boundary Travel Wave Solution Boundary Motion Numerical Discretization Parabolic Variational Inequality 
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Copyright information

© Springer Basel AG 2001

Authors and Affiliations

  • Klaus Deckelnick
    • 1
  1. 1.Center for Mathematical Analysis and Its Applications, School of Mathematical SciencesUniversity of SussexBrightonEngland

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