4 papers
Uniform asymptotics and entropy structure of the Bingham distribution in arbitrary dimensions
Dawei Wu, Lei Zhang, Pingwen Zhang
The Bingham distribution is widely used to model directional data with antipodal symmetry, and its normalizing constant and moments play a central role in statistical inference…
From molecular model to tensor model of nematic liquid crystals through entropy decomposition
Baoming Shi, Dawei Wu, Lei Zhang +1
In the mathematical modeling of nematic liquid crystals, a practical and physically reliable -tensor model can be derived from Onsager's molecular model with the Bingha…
A Landau-de Gennes Type Theory for Cholesteric-Helical Smectic-Smectic C* Liquid Crystal Phase Transitions
Apala Majumdar, Baoming Shi, Dawei Wu +2
We present a rigorous mathematical analysis of a modified Landau-de Gennes (LdG) theory modeling temperature-driven phase transitions between cholesteric, helical smectic, and smec…
A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals
Dawei Wu, Baoming Shi, Yucen Han +3
We introduce a diffuse-interface Landau-de Gennes free energy for nematic liquid crystals (NLC) systems, with free boundaries, in three dimensions submerged in isotropic liquid, an…