Seminar series
Date
Mon, 07 Dec 2015
Time
16:00 -
17:00
Location
L4
Speaker
Duvan Henao
Organisation
Pontificia Universidad Católica de Chile
We study the low-temperature limit in the Landau-de Gennes theory for liquid crystals. We prove that for minimizers for orientable Dirichlet data tend to be almost uniaxial but necessarily contain some biaxiality around the singularities of a limiting harmonic map. In particular we prove that around each defect there must necessarily exist a maximal biaxiality point, a point with a purely uniaxial configuration with a positive order parameter, and a point with a purely uniaxial configuration with a negative order parameter. Estimates for the size of the biaxial cores are also given.
This is joint work with Apala Majumdar and Adriano Pisante.