6 papers
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 -…
Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit
Haotong Fu, Huaijie Wang, Wei Wang
We investigate the vanishing elasticity limit for minimizers of the Landau-de Gennes model with finite energy. By adopting a refined blow-up and covering analysis, we establish the…
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…
Stochastic Stefan problem on moving hypersurfaces: an approach by a new framework of nonhomogeneous monotonicity
Tianyi Pan, Wei Wang, Jianliang Zhai +1
The purpose of this paper is to establish the well-posedness of the stochastic Stefan problem on moving hypersurfaces. Through a specially designed transformation, it turns out we…