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Linear stability analysis and metastable solutions for a phase-field model
Published online by Cambridge University Press: 14 November 2011
Abstract
We study the linear stability of equilibrium points of a semilinear phase-field model, giving criteria for stability and instability. In the one-dimensional case, we study the distribution of equilibria and also prove the existence of metastable solutions that evolve very slowly in time.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 3 , 1999 , pp. 571 - 600
- Copyright
- Copyright © Royal Society of Edinburgh 1999
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