Lavrentiev Phenomenon in Microstructure Theory

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/511

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.coverage.spatial	18	en
dc.date.accessioned	2007-01-15T12:04:25Z	-
dc.date.available	2007-01-15T12:04:25Z	-
dc.date.issued	1996	-
dc.identifier.citation	Electronic Journal of Differential Equations 6 (1996), 1-12	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/511	-
dc.description.abstract	A variational problem arising as a model in martensitic phase transformation including surface energy is studied. It explains the complex, multi-dimensional pattern of twin branching which is often observed in a martensitic phase near the austenite interface. We prove that a Lavrentiev phenomenon can occur if the domain is a rectangle. We show that this phenomenon disappears under arbitrarily small shears of the domain. We also prove that other perturbations of the problem lead to an extinction of the Lavrentiev phenomenon.	en
dc.format.extent	121395 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Elsevier	en
dc.subject	Calculus of variations, Singular perturbation	en
dc.subject	Lavrentiev phenomenon, martensitic phase transformation	en
dc.title	Lavrentiev Phenomenon in Microstructure Theory	en
dc.type	Research Paper	en
Appears in Collections:	Dept of Mathematics Research Papers Mathematical Sciences

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