2 papers
math.AP2025
Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics
Huan Dong, Wei Wang
We study the sharp interface limit for a vector-valued Allen-Cahn equation. The limiting system is shown to be a two-phase flow in which the interface evolves by mean curvature flo…
math.AP2025
On the asymptotic limit for the dynamic isotropic-nematic phase transition with anisotropic elasticity
Huan Dong, Siqi Ren, Wei Wang
We consider the isotropic--nematic phase transition dynamics for liquid crystals based on the Landau--de Gennes -tensor theory. When the anisotropic elastic constant is ne…