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math.AP2018
A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants
Dmitry Golovaty, Michael Novack, Peter Sternberg +1
We analyze a model problem based on highly disparate elastic constants that we propose in order to understand corners and cusps that form on the boundary between the nematic and is…
math.AP2018
Dimension Reduction for the Landau-de Gennes Model: The Vanishing Nematic Correlation Length Limit
Michael R. Novack
We study nematic liquid crystalline films within the framework of the Landau-de Gennes theory in the limit when both the thickness of the film and the nematic correlation length ar…