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Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals

Abstract:

We extend the recent radial symmetry results by Pisante [23] and Millot & Pisante [19] (who show that all entire solutions of the vector-valued Ginzburg-Landau equations in superconductivity theory, in the three-dimensional space, are comprised of the well-known class of equivariant solutions) to the Landau-de Gennes framework in the theory of nematic liquid crystals. In the low temperature limit, we obtain a characterization of global Landau-de Gennes minimizers, in the restricted class ...

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A. Majumdar More by this author
Publication date:
2011
URN:
uuid:ee7e4337-22ff-4173-b5d7-25c919f54cbd
Local pid:
oai:eprints.maths.ox.ac.uk:1474

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