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A homogenization result in the gradient theory of phase transitions

Presented by: 
Irene Fonseca Carnegie Mellon University
Date: 
Wednesday 17th April 2019 - 15:30 to 16:30
Venue: 
INI Seminar Room 2
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 $\varepsilon$ 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 $\varepsilon \to 0$, to an anisotropic interfacial energy.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons