2 papers
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…
math.AP2025
Asymptotic limit of a vector-valued Allen-Cahn equation for phase transition dynamics
Huan Dong, Wei Wang
In this paper, we study the asymptotic limit, as , of solutions to a vector-valued Allen-Cahn equation $$ \partial_t u = Îu - \frac{1}{\varepsilon^2} \partial_u…