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
singular perturbation, Lavrentiev phenomenon, martensitic phase transformation