Henao, D. and Majumdar, A.
(2011)
Symmetry of uniaxial global Landaude Gennes minimizers in the
theory of nematic liquid crystals.
SIAM Journal on Mathematical Analysis
.
(Submitted)

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Abstract
We extend the recent radial symmetry results by Pisante [23] and Millot & Pisante [19] (who show that all entire solutions of the vectorvalued GinzburgLandau equations in superconductivity theory, in the threedimensional space, are comprised of the wellknown class of equivariant solutions) to the Landaude Gennes framework in the theory of nematic liquid crystals. In the low temperature limit, we obtain a characterization of global Landaude Gennes minimizers, in the restricted class of uniaxial tensors, in terms of the wellknown radialhedgehog solution. We use this characterization to prove that global Landaude Gennes minimizers cannot be purely uniaxial for sufficiently low temperatures.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1474 
Deposited By:  Peter Hudston 
Deposited On:  23 Feb 2012 08:49 
Last Modified:  29 May 2015 19:10 
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