8 papers · 1 filter
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…
Uniform estimates of Landau-de Gennes minimizers in the vanishing elasticity limit with line defects
Haotong Fu, Huaijie Wang, Wei Wang
For the Landau-de Gennes functional modeling nematic liquid crystals in dimension three, we prove that, if the energy is bounded by , then the seque…
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…
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 ,…