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

Title: Lavrentiev Phenomenon in Microstructure Theory
Authors: Winter, M
Keywords: Calculus of variations, Singular perturbation
Lavrentiev phenomenon, martensitic phase transformation
Publication Date: 1996
Publisher: Elsevier
Citation: Electronic Journal of Differential Equations 6 (1996), 1-12
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.
URI: http://bura.brunel.ac.uk/handle/2438/511
Appears in Collections:Mathematics
School of Information Systems, Computing and Mathematics Research Papers

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