107 citations · 244 across the 21 of their papers we have counts for
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math.AP2020★ 2 cited
Regularity of a gradient flow generated by the anisotropic Landau-de Gennes energy with a singular potential
Yuning Liu, Xinyang Lu, Xiang Xu
In this paper we study a gradient flow generated by the Landau-de Gennes free energy that describes nematic liquid crystal configurations in the space of -tensors. This free ene…
math.AP2020★ 1 cited
Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory
Xinyang Lu, Xiang Xu, Wujun Zhang
In this paper we revisit a singular bulk potential in the Landau-de Gennes free energy that describes nematic liquid crystal configurations in the framework of the Q-tensor order p…
math.AP2020★ 1 cited
Analysis for Allen-Cahn-Ohta-Nakazawa Model in a Ternary System
Sookyung Joo, Xiang Xu, Yanxiang Zhao
In this paper we study the global well-posedness of the Allen-Cahn Ohta-Nakazawa model with two fixed nonlinear volume constraints. Utilizing the gradient flow structure of its fre…