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http://bura.brunel.ac.uk/handle/2438/514| Title: | Stationary solutions for the Cahn-Hilliard equation |
| Authors: | Winter, M Wei, J |
| Keywords: | Semilinear elliptic equation;Phase transition |
| Issue Date: | 1998 |
| Publisher: | Elsevier |
| Citation: | Ann Inst Henri Poincare Anal Non Lineaire 15 (1998), 459-492 |
| Abstract: | We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nongenerate critical point. Then we show that there exists a spike-like stationary solution whose global maximum lies on the boundary. Our method is based on Lyapunov-Schmidt reduction and the Brouwer fixed-point theorem. |
| URI: | http://bura.brunel.ac.uk/handle/2438/514 http://www.ingentaconnect.com/content/els/02941449 |
| Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 6-spikes17.pdf | 245.59 kB | Adobe PDF | View/Open |
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