Convergence of Ginzburg-Landau Approximations for a Liquid Crystal Flow in 2D

Details Convergence of Ginzburg-Landau Approximations for a Liquid Crystal Flow in 2D Convergence of Ginzburg-Landau Approximations for a Liquid Crystal Flow in 2D

2011-02-11

arxiv.org/abs/1102.2396v2

Mathematics

Analysis of PDEs

This paper has been withdrawn by the author due to wrong inequality at page 7 in line 16-18. Hence the present proof of Propos

Scientific paper

In this paper we prove the convergence for all time for a Ginzburg- Landau
type approximation of a simplified Ericksen-Leslie model in two dimension.
Moreover, we are able to show that the singular set consists in at most
finitely many singular points and we give a characterizations of the
singularities.

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