Abstract
We consider a variational twodimensional 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 nonzero integer k, there are exactly two minimizers for all large enough R. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the boundary data. We further show that there are at least five symmetric critical points.
Original language  English 

Pages (fromto)  14211473 
Number of pages  53 
Journal  Archive for Rational Mechanics and Analysis 
Volume  237 
Issue number  3 
Early online date  20 May 2020 
DOIs  
Publication status  Published  1 Sept 2020 
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Dr Valeriy Slastikov
 Probability, Analysis and Dynamics
 School of Mathematics  Senior Lecturer in Applied Mathematics
 Fluids and materials
 Applied Mathematics
Person: Academic , Member