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Stability of the one-dimensional kink solution to a general Cahn-Hilliard equation
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UNSPECIFIED (1996) Stability of the one-dimensional kink solution to a general Cahn-Hilliard equation. PHYSICAL REVIEW E, 54 (6). pp. 6102-6108. ISSN 1063-651X
Full text not available from this repository.Abstract
We give an analysis of the Cahn-Hilliard equation with a general potential, which admits a one-dimensional kink solution. We investigate the stability of this equilibrium solution to small perpendicular perturbations of variable wave numberic. We develop a perturbation theory for small and large k and apply the general results to two commonly used forms for the potential. We go on and use a Pade approximant to describe the full dispersion relation, and for the particular potentials it is shown that the kink solution is stable for all k.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Journal or Publication Title: | PHYSICAL REVIEW E |
| Publisher: | AMERICAN PHYSICAL SOC |
| ISSN: | 1063-651X |
| Date: | December 1996 |
| Volume: | 54 |
| Number: | 6 |
| Number of Pages: | 7 |
| Page Range: | pp. 6102-6108 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/18106 |
Data sourced from Thomson Reuters' Web of Knowledge
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