We establish the subconvergence of weak solutions to the Ginzburg-Landau approximation to global-in-time weak solutions of the Ericksen-Leslie model for nematic liquid crystals on the torus $\mathbb{T}^2$. The key argument is a variation of concentration-cancellation methods originally introduced by DiPerna and Majda to investigate the weak stability of solutions to the (steady-state) Euler equations.
On a non-isothermal model for nematic liquid crystals
Existence of minimizers and convergence of critical points for a new Landau-de Gennes energy functional in nematic liquid crystals
Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy
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