Convergence of Ginzburg-Landau Approximations for a Liquid Crystal Flow in 2D
arXiv:1102.2396
Abstract
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.
This paper has been withdrawn by the author due to wrong inequality at page 7 in line 16-18. Hence the present proof of Proposition 4.4 is not true