3 papers
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…
math.DG2024
Blow-ups of minimal surfaces in the Heisenberg group
Yonghao Yu
In this paper, we revise Monti's results on the blow-ups of H-perimeter minimizing sets in . Monti demonstrated that the Lipschitz approximation of the blow-up, after…