From the 2 of 6 linked papers with an AI index.
5 papers · 1 filter
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…
Existence of weak solutions for two-phase matrix-valued harmonic map flows
Wei Wang, Zhifei Zhang
The paper proves the existence of weak solutions for a two‑phase matrix‑valued harmonic map flow, using a time‑discretized minimizing‑movement scheme linked to a prescribed interfa…
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 $…