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math.AP2025
On the asymptotic limit for the dynamic isotropic-nematic phase transition with anisotropic elasticity
Huan Dong, Siqi Ren, Wei Wang
We consider the isotropic--nematic phase transition dynamics for liquid crystals based on the Landau--de Gennes -tensor theory. When the anisotropic elastic constant is ne…
math.AP2025
Existence of weak solutions for two-phase matrix-valued harmonic map flows
Wei Wang, Zhifei Zhang
We study the existence of weak solutions to a two-phase matrix-valued harmonic map flow with lifespan determined by that of the prescribed interface. This system arises as the limi…
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…