- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 376.5KB)
-
- Publisher copy:
- 10.1016/j.jde.2017.02.035
-
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- Funding agency for:
- Chen, G-Q
- Grant:
- Visiting Fellowship
- Publisher:
- Elsevier Publisher's website
- Journal:
- Journal of Differential Equations Journal website
- Volume:
- 263
- Issue:
- 1
- Pages:
- 202-239
- Publication date:
- 2017-03-05
- Acceptance date:
- 2017-02-20
- DOI:
- ISSN:
-
1090-2732 and 0022-0396
- Pubs id:
-
pubs:686242
- URN:
-
uri:1d9c11a5-b6b0-4bca-8188-89c73ca66161
- UUID:
-
uuid:1d9c11a5-b6b0-4bca-8188-89c73ca66161
- Local pid:
- pubs:686242
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- 2017
- Notes:
- Copyright © 2017 Elsevier B.V. or its licensors or contributors*
Journal article
Global existence and regularity of solutions for active liquid crystals
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+ Engineering and Physical Sciences Research Council
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+ Oxford Centre for Industrial and Applied Mathematics
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Keble College, Oxford
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