Showing 2025Show all
3 papers · 1 filter
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…
math.AP2025
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
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…