3 papers
math.AP2026
Planar Degenerate Anchoring in Landau-de Gennes Energy
Ho Man Tai, Yong Yu
The aim of this article is twofold. First, in the large-body limit and when the temperature is below the nematic-isotropic transition threshold, we verify that the -v…
math.AP2026
Phase Transition With Rapini-Papoular Surface Anchoring
Shun Li, Yong Yu
We analyze the dynamical (in)stability of nematic liquid crystals in the presence of external magnetic fields and Rapini-Papoular surface potential. The P-HAN transition is investi…
math.AP2026
Biaxial Disclinations Around a Spherical Colloid
Yuchen Huang, Yong Yu
We study the Landau-de Gennes theory in the one-constant limit for nematic liquid crystals in the exterior of a spherical colloid. The non-degenerate Nobili-Durand weak anchoring c…