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arXiv · 2009.00537

Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory

Xinyang Lu·Xiang Xu·Wujun Zhang
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Abstract

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 parameter. This singular potential, called Ball-Majumdar potential, is introduced in [3], and is considered as a natural enforcement of a physical constraint on the eigenvalues of symmetric, traceless Q-tensors. Specifically, we establish blowup rates of both this singular potential and its gradient as Q approaches its physical boundary.

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Xinyang Lu, Xiang Xu, Wujun Zhang. 2020-09-01. Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory. https://arxiv.org/abs/2009.00537

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