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

Published 11 Feb 2011 in math.AP | (1102.2396v2)

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.

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