4 papers · 1 filter
The Asymptotic Theory of Ginzburg--Landau Critical Points on Domains with Corners
Yucen Han, Apala Majumdar
We study the critical points of the two-dimensional Ginzburg--Landau energy on domains with corners and imposed Dirichlet boundary condition which vanishes prec…
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…
Dissipative solutions to a Beris-Edwards type model for compressible active nematic liquid crystals
Kuntal Bhandari, Apala Majumdar, Šárka Nečasová
We study the hydrodynamics of compressible active nematic liquid crystals in a three-dimensional and bounded domain, with a nonlinear viscosity tensor and nonhomogeneous boundary d…
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…