Winter, Matthias

Lavrentiev phenomenon in microstructure theory

Electron. J. Differ. Equ. 1996(6), (1996)


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.

Mathematics Subject Classification

49K40, 73S10


singular perturbation, Lavrentiev phenomenon, martensitic phase transformation