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.
Matsumura,On the asymptotic behavior of solutions of semi-linear wave equations, Publications of the Research Institute for Mathematical Sciences, 1976, 12(1): 169–189
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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.