Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals

We consider a variational two-dimensional Landau–de Gennes model in the theory of nematic liquid crystals in a disk of radius R. We prove that under a symmetric boundary condition carrying a topological defect of degree 𝑘2 for some given even non-zero integer k, there are exactly two minimizers for...

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Hlavní autoři: Ignat, R, Nguyen, L, Slastikov, V, Zarnescu, A
Médium: Journal article
Jazyk:English
Vydáno: Springer Nature 2020