On the stationary Cahn-Hilliard equation: Interior spike solutions

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/515

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.coverage.spatial	40	en
dc.date.accessioned	2007-01-15T12:31:59Z	-
dc.date.available	2007-01-15T12:31:59Z	-
dc.date.issued	1998	-
dc.identifier.citation	Winter, M. and Wei, J. (1998) 'On the stationary Cahn-Hilliard equation: Interior spike solutions', Journal of Differential Equations, 148(2), pp. 231-267. doi:10.1006/jdeq.1998.3479.	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/515	-
dc.description.abstract	We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such solutions whose spike lies close to a given nondegenerate peak point. Our construction uses among others the methods of viscosity solution, weak convergence of measures and Liapunov-Schmidt reduction.	en
dc.format.extent	281288 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Elsevier	en
dc.subject	Spike layers	en
dc.subject	Weak convergence of measures	en
dc.subject	Phase transition	-
dc.subject	Viscosity solution	-
dc.title	On the stationary Cahn-Hilliard equation: Interior spike solutions	en
dc.type	Research Paper	en
dc.identifier.doi	https://doi.org/10.1006/jdeq.1998.3479	-
Appears in Collections:	Mechanical and Aerospace Engineering Dept of Mathematics Research Papers Mathematical Sciences

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