Global weak solutions for the compressible active liquid crystal system
Chen, Gui Qiang G. and Majumdar, Apala and Wang, Dehua and Zhang, Rongfang (2018) Global weak solutions for the compressible active liquid crystal system. SIAM Journal on Mathematical Analysis (SIMA), 50 (4). 3632–3675. (https://doi.org/10.1137/17M1156897)
Preview |
Text.
Filename: Chen_etal_SJMA2018_Global_weak_solutions_compressible_active_liquid_crystal_system.pdf
Accepted Author Manuscript Download (360kB)| Preview |
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.
ORCID iDs
Chen, Gui Qiang G., Majumdar, Apala ORCID: https://orcid.org/0000-0003-4802-6720, Wang, Dehua and Zhang, Rongfang;-
-
Item type: Article ID code: 70838 Dates: DateEvent10 July 2018Published23 March 2018AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 12 Dec 2019 11:32 Last modified: 01 Sep 2024 01:24 URI: https://strathprints.strath.ac.uk/id/eprint/70838