# A homogenization result in the gradient theory of phase transitions

created by cristoferi on 06 Aug 2018

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Submitted Paper

Inserted: 6 aug 2018
Last Updated: 6 aug 2018

Year: 2018

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 $\e$ 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.