Henao, D. and Majumdar, A.
Symmetry of uniaxial global Landau-de Gennes minimizers in the
theory of nematic liquid crystals. SIAM Journal on Mathematical Analysis . (Submitted)
We extend the recent radial symmetry results by Pisante  and Millot & Pisante  (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 of uniaxial tensors, in terms of the well-known radial-hedgehog solution. We use this characterization to prove that global Landau-de Gennes minimizers cannot be purely uniaxial for sufficiently low temperatures.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||23 Feb 2012 08:49|
|Last Modified:||29 May 2015 19:10|
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