Biaxiality in the Landau-de Gennes model for liquid crystals.

Supervisor
Giacomo Canevari - Universite' Pierre et Marie Curie, Paris
Date and time
Tuesday, March 25, 2014 at 5:00 PM - 16:45 rinfresco; 17:00 inizio seminario
Place
Ca' Vignal 2, Floor 1°, Lecture Hall L
Programme Director
Sisto Baldo
External reference
Publication date
February 17, 2014
Department
Computer Science  

Summary

 Nematic liquid crystals are a special phase of matter, somehow intermediate between solid crystals and liquids. Several variational models have been proposed to describe their behaviour. In this talk we focus on the Landau de Gennes model, in a 2-D stationary case. We show that, in the low temperature range, the stable equilibrium configurations are biaxial - that is, the molecules align locally along more preferred directions, at some point. Next, we discuss the asymptotic behavior o f minimizers, as the elastic constant tends to zero, and prove the convergence to a locally harmonic map with singularities.






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