4 papers
Asymptotic properties 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 a central analytical object is the normalizing constant . Even though efficient al…
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…