93 citations · 247 across the 31 of their papers we have counts for
30 papers
Asymptotic limit for the isotropic-nematic problem with anisotropic elasticity
Fanghua Lin, Wei Wang, Zhifei Zhang
We consider the isotropic-nematic interface problem for liquid crystals based on the Landau-de Gennes model. We show that when the anisotropic elastic constant is negative, t…
On the absence of point defects in biaxial Landau--de Gennes models
Haotong Fu, Huaijie Wang, Wei Wang +1
We study local minimizers of a sextic-potential Landau--de Gennes energy for nematic liquid crystals in the small-elastic-constant limit. Under the uniform energy and bo…
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…
Existence of weak solutions for two-phase matrix-valued harmonic map flows
Wei Wang, Zhifei Zhang
We study the existence of weak solutions to a two-phase matrix-valued harmonic map flow with lifespan determined by that of the prescribed interface. This system arises as the limi…
Stratification and rectifiability of harmonic map flows via tangent measures
Haotong Fu, Wei Wang, Ke Wu +1
In this paper, we investigate the stratification theory for ``suitable solutions" of harmonic map flows based on the spatial symmetry of tangent measures. Building on the quantitat…
Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity
Wei Wang, Zhifei Zhang
In this paper, we study the stationary solutions of semilinear elliptic equation with singular nonlinearity where $ n\…