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http://bura.brunel.ac.uk/handle/2438/516| Title: | On the Stationary Cahn-Hilliard Equation: Bubble Solutions |
| Authors: | Winter, M Wei, J |
| Keywords: | Bubbles, Exponential Asymptotics,;Phase transition |
| Issue Date: | 1998 |
| Publisher: | SIAM |
| Citation: | Winter, M. and Wei, J. (1998) 'On the Stationary Cahn-Hilliard Equation: Bubble Solutions', SIAM, 29(6), pp. 1492-1518. doi:10.1137/s0036141097320663. |
| Abstract: | We study stationary solutions of the Cahn--Hilliard equation in a bounded smooth domain which have an interior spherical interface (bubbles). We show that a large class of interior points (the ``nondegenerate peak'' points) have the following property: there exists such a solution whose bubble center lies close to a given nondegenerate peak point. Our construction uses among others the Liapunov-Schmidt reduction method and exponential asymptotics. |
| URI: | http://bura.brunel.ac.uk/handle/2438/516 |
| DOI: | https://doi.org/10.1137/s0036141097320663 |
| Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | 255.66 kB | Adobe PDF | View/Open |
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