Existence and uniqueness of Koch-Tataru solutions are proved for the active nematic liquid crystal equations with small data in L^∞ × BMO^{-1}.
Germain,The second iterate for the Navier–Stokes equation, Journal of Functional Analysis, 2008, 255(9): 2248–2264
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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}.