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arXiv · 2107.01440

Pattern Formation in Landau-de Gennes Theory

Ho-Man Tai·Yong Yu
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Abstract

We study the spherical droplet problem in 3D-Landau de Gennes theory with finite temperature. By rigorously constructing the biaxial-ring solutions and split-core-segment solutions, we theoretically confirm the numerical results of Gartland-Mkaddem in [14]. The structures of disclinations are also addressed.

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Ho-Man Tai, Yong Yu. 2021-07-03. Pattern Formation in Landau-de Gennes Theory. https://arxiv.org/abs/2107.01440

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