Existence and uniqueness of Koch-Tataru solutions are proved for the active nematic liquid crystal equations with small data in L^∞ × BMO^{-1}.
De Anna,A global 2D well-posedness result on the order tensor liquid crystal theory, Journal of Differential Equations, 2017, 262(7): 3932–3979
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AP 2years
2026 2roles
background 1polarities
background 1representative citing papers
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.
citing papers explorer
-
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}.
-
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.