Refined approximation for minimizers of a Landau-de Gennes energy functional

@inproceedings{Nguyen2013RefinedAF,
  title={Refined approximation for minimizers of a Landau-de Gennes energy functional},
  author={Luc Nguyen and Arghir D Zarnescu},
  year={2013}
}
We study a class of Landau-de Gennes energy functionals in the asymptotic regime of small elastic constant L > 0. We revisit and sharpen the results in [18] on the convergence to the limit Oseen-Frank functional. We examine how the Landau-de Gennes global minimizers are approximated by the Oseen-Frank ones by determining the first order term in their asymptotic expansion as L → 0. We identify the appropriate functional setting in which the asymptotic expansion holds, the sharp rate of… CONTINUE READING

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