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Uniqueness of global weak solutions for the general Ericksen–Leslie system with Ginzburg–Landau penalization in $${\mathbb {T}}^2$$
Abstract The Ericksen–Leslie system is a fundamental hydrodynamic model that describes the evolution of incompressible liquid crystal flows of nematic type. In this paper, we prove the uniqueness of global weak solutions to the general Ericksen–Leslie system with a Ginzburg–Landau type approximation in a two dimensional periodic domain. The proof …