Pattern formation in Landau–de Gennes theory

نویسندگان

چکیده

We study the spherical droplet problem in 3D Landau–de Gennes theory with finite temperature. By rigorously constructing biaxial–ring solutions and split–core–segment solutions, we theoretically confirm numerical results of Gartland–Mkaddem [15]. The structures disclinations are also addressed.

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ژورنال

عنوان ژورنال: Journal of Functional Analysis

سال: 2023

ISSN: ['0022-1236', '1096-0783']

DOI: https://doi.org/10.1016/j.jfa.2023.109923