An existence and uniqueness result for a phase-field model of diffusion-induced grain-boundary motion
Published online by Cambridge University Press: 12 July 2007
Abstract
We consider a phase-field model for diffusion-induced grain boundary motion. The model couples a parabolic variational inequality to a degenerate diffusion equation. Using a regularization technique, we prove an existence theorem for the resulting system. We also obtain a uniqueness result, provided the solution has some additional regularity.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 6 , December 2001 , pp. 1323 - 1344
- Copyright
- Copyright © Royal Society of Edinburgh 2001
- 4
- Cited by