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.

中文翻译：

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Ericksen-Leslie模型中的浓度抵消

我们建立了圆环\（{\ mathbb {T} ^ 2} \）上向列液晶的Ginzburg-Landau近似的弱解的亚收敛到Ericksen-Leslie模型的及时全局弱解的子收敛。关键论点是DiPerna和Majda最初引入的浓度抵消方法的一种变体，用于研究（稳态）欧拉方程解的弱稳定性。