Journal article
Global weak solutions for the compressive active liquid crystal system
- Abstract:
- We study the hydrodynamics of compressible flows of active liquid crystals in the Beris--Edwards hydrodynamics framework, using the Landau--de Gennes $Q$-tensor order parameter to describe liquid crystalline ordering. We prove the existence of global weak solutions for this active system in three space dimensions by the three-level approximations and weak convergence argument. New techniques and estimates are developed to overcome the difficulties caused by the active terms.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 462.7KB, Terms of use)
-
- Publisher copy:
- 10.1137/17M1156897
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Chen, G
- Grant:
- EP/L015811/1
- Publisher:
- Society for Industrial and Applied Mathematics
- Journal:
- SIAM Journal on Mathematical Analysis More from this journal
- Volume:
- 50
- Issue:
- 4
- Pages:
- 3632–3675
- Publication date:
- 2018-07-10
- Acceptance date:
- 2018-03-23
- DOI:
- EISSN:
-
1095-7154
- ISSN:
-
0036-1410
- Keywords:
- Pubs id:
-
pubs:544841
- UUID:
-
uuid:b6de1e8d-79c5-40d9-9d15-6b2618c3f9f7
- Local pid:
-
pubs:544841
- Source identifiers:
-
544841
- Deposit date:
-
2018-08-03
- ARK identifier:
Terms of use
- Copyright holder:
- Society for Industrial and Applied Mathematics
- Copyright date:
- 2018
- Notes:
- © 2018 Society for Industrial and Applied Mathematics. This is the accepted manuscript version of the article. The final version is available online from Society for Industrial and Applied Mathematics at: https://doi.org/10.1137/17M1156897
If you are the owner of this record, you can report an update to it here: Report update to this record