Abstract
We study the hydrodynamics of active liquid crystals in the Beris-Edwards hydrodynamic framework with the Landau-de Gennes Q-tensor order parameter to describe liquid crystalline ordering. The existence of global weak solutions in two and three spatial dimensions is established. In the two-dimensional case, by the Littlewood-Paley decomposition, the higher regularity of the weak solutions and the weak-strong uniqueness are also obtained.
Original language | English |
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Pages (from-to) | 202-239 |
Number of pages | 38 |
Journal | Journal of Differential Equations |
Volume | 263 |
Issue number | 1 |
Early online date | 3 Mar 2017 |
DOIs | |
Publication status | Published - 5 Jul 2017 |
Keywords
- Active liquid crystals
- Global well-posedness
- Navier-Stokes equations
- Strong solutions
- Weak solutions
- Weak-strong uniqueness
ASJC Scopus subject areas
- Analysis