On the Stationary Cahn-Hilliard Equation: Bubble Solutions

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/516

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.coverage.spatial	28	en
dc.date.accessioned	2007-01-15T12:35:53Z	-
dc.date.available	2007-01-15T12:35:53Z	-
dc.date.issued	1998	-
dc.identifier.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.	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/516	-
dc.description.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.	en
dc.format.extent	261799 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	SIAM	en
dc.subject	Bubbles, Exponential Asymptotics,	en
dc.subject	Phase transition	en
dc.title	On the Stationary Cahn-Hilliard Equation: Bubble Solutions	en
dc.type	Research Paper	en
dc.identifier.doi	https://doi.org/10.1137/s0036141097320663	-
Appears in Collections:	Dept of Mathematics Research Papers Mathematical Sciences

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