Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 285, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2023.109923
Keywords
Disclinations; Half-degree ring; Split -core solution; Landau-de Gennes
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We investigate the 3D Landau-de Gennes theory with finite temperature to understand the spherical droplet problem. By rigorously constructing biaxial-ring solutions and split-core-segment solutions, we provide theoretical confirmation for the numerical findings of Gartland-Mkaddem in [15]. The paper also addresses the structures of disclinations.
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 [15]. The structures of disclinations are also addressed.(c) 2023 Elsevier Inc. All rights reserved.
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