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Energyscaling, domain-branching and SO(2)-invariance in solid-solid phase transitions

  • Allan Chan (Universität Bonn)
A3 01 (Sophus-Lie room)

Abstract

In the early 90s Kohn and Müller established a model for the formation of domain pattern in martensitic shape-memory alloys. For a vectorial generalization of their model for solid-solid phase transitions with SO(2) invariance, we discuss the cases with one and two rank-1 connections and derive upper and lower bounds to the infimum energy with domain branching.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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