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Please use this identifier to cite or link to this item: 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
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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