Showing math.APShow all
3 papers · 1 filter
math.AP2026
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 -…
math.AP2026
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…
math.AP2025
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…