23 citations · 23 across the 8 of their papers we have counts for
6 papers · 1 filter
Finiteness of singularities for higher-weight axially symmetric minimizers of the relaxed Dirichlet energy
Zhiyuan Dai, Huaijie Wang, Wei Wang
Let be an integer. We prove that every minimizer of the Bethuel--Brezis--Coron relaxed Dirichlet energy in the signed meridional -axial class, with continuous degr…
Asymptotics for two-dimensional parabolic vectorial Allen-Cahn systems
Zhiyuan Dai, Haotong Fu, Huaijie Wang +1
We study the parabolic vectorial Allen--Cahn equation in two space dimensions for a fixed smooth potential with finitely many non-degenerate wells. Our result provides a parabolic…
Small-energy regularity for stationary weak solutions of the Liouville equation
Haotong Fu, Kelei Wang, Wei Wang +1
We establish small-energy regularity for stationary weak solutions of the Liouville equation in every dimension. It solves a problem left open in Da Lio [Commun. Partia…
Boundary asymptotics for two-dimensional vectorial Allen-Cahn systems
Zhiyuan Dai, Haotong Fu, Huaijie Wang +1
We study asymptotic properties of critical points of the two-dimensional vectorial Allen-Cahn energy with finitely many non-degenerate wells, subject to a homogeneous Neumann bound…
Boundary regularity for Oseen-Frank minimizers with arbitrary positive splay, twist, and bend constants
Zhiyuan Dai, Haotong Fu, Huaijie Wang +1
Let be a smooth bounded domain and let be smooth. We prove that any global minimizer of the Oseen--Frank energy subject to the str…
Smooth Convergence of Landau-de Gennes Minimizers in the Lyuksyutov Regime
Haotong Fu, Huaijie Wang, Wei Wang
In this paper, we analyze global minimizers of the Landau--de Gennes functional in 3-dimensional domains in the Lyuksyutov regime. We prove smooth convergence to an -…