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http://bura.brunel.ac.uk/handle/2438/515| Title: | On the stationary Cahn-Hilliard equation: Interior spike solutions |
| Authors: | Winter, M Wei, J |
| Keywords: | Spike layers;Weak convergence of measures;Phase transition;Viscosity solution |
| Issue Date: | 1998 |
| Publisher: | Elsevier |
| Citation: | Winter, M. and Wei, J. (1998) 'On the stationary Cahn-Hilliard equation: Interior spike solutions', Journal of Differential Equations, 148(2), pp. 231-267. doi:10.1006/jdeq.1998.3479. |
| Abstract: | We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such solutions whose spike lies close to a given nondegenerate peak point. Our construction uses among others the methods of viscosity solution, weak convergence of measures and Liapunov-Schmidt reduction. |
| URI: | http://bura.brunel.ac.uk/handle/2438/515 |
| DOI: | https://doi.org/10.1006/jdeq.1998.3479 |
| Appears in Collections: | Mechanical and Aerospace Engineering Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | 274.7 kB | Adobe PDF | View/Open |
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