Abstract for the talk at 16.01.2015 (11:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Xavier Lamy (Université Claude Bernard Lyon 1, Lyon, Institut Camille Jordan, France)
Nematic liquid crystals and biaxiality
In nematic liquid crystals, rod-like molecules tend to align. Locally this alignment can exhibit uniaxial symmetry, or be biaxial. In certain regimes, a "biaxial escape" phenomenon is predicted. We show that the uniaxial symmetry constraint is very rigid independently of the regime: biaxial escape has to be more than the mere breaking of this symmetry. Then we present a rigorous interpretation of biaxial escape at low temperature (joint with Andres Contreras).