JournalsifbVol. 21, No. 3pp. 367–408

A homogenization result in the gradient theory of phase transitions

  • Riccardo Cristoferi

    Heriot-Watt University, Edinburgh, UK

  • Irene Fonseca

    Carnegie Mellon University, Pittsburgh, USA

  • Adrian Hagerty

    Carnegie Mellon University, Pittsburgh, USA

  • Cristina Popovici

    Loyola University Chicago, USA
A homogenization result in the gradient theory of phase transitions cover

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Abstract

A variational model in the context of the gradient theory for fluid-fluid phase transitions with small scale heterogeneities is studied. In particular, the case where the scale of the small homogeneities is of the same order of the scale governing the phase transition is considered. The interaction between homogenization and the phase transitions process will lead, in the limit as , to an anisotropic interfacial energy.

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Cite this article

Riccardo Cristoferi, Irene Fonseca, Adrian Hagerty, Cristina Popovici, A homogenization result in the gradient theory of phase transitions. Interfaces Free Bound. 21 (2019), no. 3, pp. 367–408

DOI 10.4171/IFB/426