Journal title
SIAM Journal on Mathematical Analysis
DOI
10.1137/17M1156897
Issue
4
Volume
50
Last updated
2024-04-23T14:04:46.84+01:00
Page
3632-3675
Abstract
In this paper, we study the active hydrodynamics, described in the -tensor
liquid crystal framework. We prove the existence of global weak solutions in dimension two and three, with suitable initial data. By using Littlewood-Paley decomposition, we also get the higher regularity of the weak solutions and the uniqueness of weak-strong solutions in dimension two.
liquid crystal framework. We prove the existence of global weak solutions in dimension two and three, with suitable initial data. By using Littlewood-Paley decomposition, we also get the higher regularity of the weak solutions and the uniqueness of weak-strong solutions in dimension two.
Symplectic ID
544841
Download URL
http://arxiv.org/abs/1509.02608v2
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Publication type
Journal Article
Publication date
10 Jul 2018