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Global existence and regularity of solutions for active liquid crystals

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

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Publisher copy:
10.1016/j.jde.2017.02.035

Authors


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Institution:
University of Oxford
Oxford college:
Keble College
Role:
Author
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Name:
Royal Society
Funding agency for:
Chen, G
Grant:
Wolfson Research Merit Award
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Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Chen, G
Grant:
Wolfson Research Merit Award
EP/J001686/2
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Name:
Oxford Centre for Industrial and Applied Mathematics
Grant:
Visiting Fellowship
More from this funder
Name:
National Science Foundation
Grant:
DMS-1312800
Publisher:
Elsevier
Journal:
Journal of Differential Equations More from this journal
Volume:
263
Issue:
1
Pages:
202-239
Publication date:
2017-03-01
Acceptance date:
2017-02-20
DOI:
ISSN:
0022-0396 and 1090-2732
Keywords:
Pubs id:
pubs:686242
UUID:
uuid:1d9c11a5-b6b0-4bca-8188-89c73ca66161
Local pid:
pubs:686242
Source identifiers:
686242
Deposit date:
2017-06-13

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