论文标题
球 - 毛线电位及其在Landau-de Gennes理论中的梯度的爆炸率估计值
Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory
论文作者
论文摘要
在本文中，我们在Landau-De Gennes自由能中重新审视了描述Q-Tensor Order参数框架中的列液晶构型的奇异大量潜力。 [3]中引入了这种称为Ball-Majumdar电位的奇异电位，被认为是对对称的，无纹状体Q tensors的特征值的物理约束的自然执行。具体而言，当Q接近其物理边界时，我们建立了这种奇异潜力及其梯度的爆炸率。
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.
