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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…