Existence and uniqueness of Koch-Tataru solutions are proved for the active nematic liquid crystal equations with small data in L^∞ × BMO^{-1}.
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Global well-posedness for small data and activity-dependent decay rates are established for the 3D Beris-Edwards active liquid crystal system using commutator estimates and Green's functions.
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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}.
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Global well-posedness and decay rates for the three dimensional incompressible active liquid crystals
Global well-posedness for small data and activity-dependent decay rates are established for the 3D Beris-Edwards active liquid crystal system using commutator estimates and Green's functions.