Calculus of Variations and Geometric Measure Theory

R. Cristoferi - I. Fonseca - A. Hagerty - C. Popovici

A homogenization result in the gradient theory of phase transitions

created by cristoferi on 06 Aug 2018
modified on 27 May 2020


Published Paper

Inserted: 6 aug 2018
Last Updated: 27 may 2020

Journal: Interf. Free Boundaries
Volume: 21
Pages: 367-408
Year: 2019


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 $\e$ 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 $\e\to0$, to an anisotropic interfacial energy.