Dynamic theory for incompressible Smectic-A liquid crystals: Existence andregularity

Authors
Liu, C
Citation
C. Liu, Dynamic theory for incompressible Smectic-A liquid crystals: Existence andregularity, DISCR C D S, 6(3), 2000, pp. 591-608
Citations number
16
Categorie Soggetti
Mathematics
Journal title
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN journal
10780947 → ACNP
Volume
6
Issue
3
Year of publication
2000
Pages
591 - 608
Database
ISI
SICI code
1078-0947(200007)6:3<591:DTFISL>2.0.ZU;2-1
Abstract
We study a system that was proposed in [3] in order to model the dynamic of Smectic-A liquid crystals. We establish the energy dissipative relation of the system and prove the existence of global weak solutions. A higher orde r energy estimate is also established for the existence of the classical so lutions and the regularity of the weak solutions. Some regularity and stabi lity results are also discussed in this paper.