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dc.contributor.authorWinter, Matthias ( )
dc.date.accessioned2018-08-27T20:49:21Z
dc.date.available2018-08-27T20:49:21Z
dc.date.issued1996-08-22
dc.identifier.citationWinter, M. (1996). Lavrentiev phenomenon in microstructure theory. Electronic Journal of Differential Equations, 1996(06), pp. 1-12.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/7626
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.

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dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSingular perturbationen_US
dc.subjectLavrentiev phenomenonen_US
dc.subjectMartensitic phase transformationen_US
dc.titleLavrentiev Phenomenon in Microstructure Theoryen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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