Lavrentiev phenomenon in microstructure theory
Electronic Journal of Differential Equations, Tome 1996 (1996) no. 6.

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Summary: 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.
Classification : 49K40, 73S10
Keywords: singular perturbation, Lavrentiev phenomenon, martensitic phase transformation
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     author = {Winter, Matthias},
     title = {Lavrentiev phenomenon in microstructure theory},
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Winter, Matthias. Lavrentiev phenomenon in microstructure theory. Electronic Journal of Differential Equations, Tome 1996 (1996) no. 6. http://geodesic.mathdoc.fr/item/EJDE_1996__1996_6_a0/