Convergence of Ginzburg-Landau Approximations for a Liquid Crystal Flow   in 2D
  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. 
Doantella Donatelli, Pierangelo Marcati and Stefano Spirito
math.AP