Geodesic
Lavrentiev phenomenon in microstructure theory
Electronic journal of differential equations, Tome 1996 (1996) no. 6
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 
@article{EJDE_1996__1996_6_a0,
     author = {Winter,  Matthias},
     title = {Lavrentiev phenomenon in microstructure theory},
     journal = {Electronic journal of differential equations},
     year = {1996},
     volume = {1996},
     number = {6},
     zbl = {0853.49019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1996__1996_6_a0/}
}
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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/