A homogenization result in the gradient theory of phase transitions

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Description:	Fonseca, I Wednesday 17th April 2019 - 15:30 to 16:30


Created:	2019-04-24 16:29
Collection:	The mathematical design of new materials
Publisher:	Isaac Newton Institute
Copyright:	Fonseca, I
Language:	eng (English)


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 ε of the small homogeneities is of the same order of the scale governing the phase transition is considered. Here the interaction between homogenization and the phase transitions process will lead, in the limit as ε→0, to an anisotropic interfacial energy.

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 ε of the small homogeneities is of the same order of the scale governing the phase transition is considered. Here the interaction between homogenization and the phase transitions process will lead, in the limit as ε→0, to an anisotropic interfacial energy.

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