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Full metadata record
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 |
Files in This Item:
File | Description | Size | Format | |
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3-final+.pdf | 118.55 kB | Adobe PDF | View/Open |
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