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| Title: | On the Stationary Cahn-Hilliard Equation: Bubble Solutions |
| Authors: | Winter, M
Wei, J |
| Keywords: | Bubbles, Exponential Asymptotics,
Phase transition |
| Publication Date: | 1998 |
| Publisher: | SIAM |
| Citation: | SIAM J Math Anal 29 (1998), 1492-1518 |
| 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 |
| Appears in Collections: | Mathematics
School of Information Systems, Computing and Mathematics Research Papers
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