7 papers · 2 filters
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 -…
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…
Singular Limits for Three-Dimensional Global Minimizers of Ginzburg--Landau-Type Functionals: Uniform Estimates and Singular Sets
Giacomo Canevari, Haotong Fu, Wei Wang
We study the asymptotic behavior of global minimizers of a Ginzburg--Landau-type functional with general compact vacuum manifold on bounded domains in ,…
Asymptotics of Minimizers for Ginzburg--Landau-type Functionals in High Dimensions
Giacomo Canevari, Haotong Fu, Wei Wang
We investigate local minimizers of Ginzburg--Landau-type functionals in dimension that satisfy logarithmic energy bounds, assuming the potential has a vacuum manifold wit…