Pattern Formation in Landau-de Gennes Theory

Published 3 Jul 2021 in math.AP and cond-mat.mtrl-sci | (2107.01440v1)

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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