Global existence of solutions of the simplified Ericksen–Leslie system in dimension two

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Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three (2014, background): “In particular, the existence of global Leray-Hopf type weak solutions to the initial and boundary value problem of (1.1) has only been established recently by Lin-Lin-Wang [15] in dimension two, see also Hong [7] and Xu-Zhang [27] for related works.”
Regularity and Existence of Global Solutions to the Ericksen–Leslie System in $${\mathbb{R}^2}$$R2 (2013, background): “[11] M. C. Hong, Z. P. Xin, Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in R2.”