Author

Huaijie Wang

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Preprint Sep 2026

Asymptotics for two-dimensional parabolic vectorial Allen-Cahn systems

We study the parabolic vectorial Allen--Cahn equation in two space dimensions for a fixed smooth potential with finitely many non-degenerate wells. Our result provides a parabolic extension of Bethuel's elliptic compactness theorem: at almost every positive time, the diffuse energy, potential energy, and gradient tenso...

Zhi-Yuan Dai, Hao Fu, Huai-Jie Wang et al. · 0 citations

Preprint Aug 2026

Boundary regularity for Oseen-Frank minimizers with arbitrary positive splay, twist, and bend constants

Let $\Omega\subset\mathbb R^3$ be a smooth bounded domain and let $g:\partial\Omega\to\mathbb S^2$ be smooth. We prove that any global minimizer of the Oseen--Frank energy subject to the strong anchoring condition $n=g$ is smooth in a full neighborhood of $\partial\Omega$. The result holds for arbitrary positive splay,...

Zhi-Yuan Dai, Hao Fu, Huai-Jie Wang et al. · 0 citations