Existence and uniqueness of Koch-Tataru solutions are proved for the active nematic liquid crystal equations with small data in L^∞ × BMO^{-1}.
Wang,Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data, Archive for rational mechanics and analysis, 2011, 200(1): 1–19
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Koch-Tataru theorem for 3D incompressible active nematic liquid crystals
Existence and uniqueness of Koch-Tataru solutions are proved for the active nematic liquid crystal equations with small data in L^∞ × BMO^{-1}.