A further note on the regularity criterion for the 3D nematic liquid crystal flows

Chenyin Qian

Applied Mathematics and Computation, 2016, vol. 290, issue C, 258-266

Abstract: We give a further investigation on the regularity criteria for the 3D nematic liquid crystal flows. It is show that the obtained anisotropic integrability regularity criterion to the 3D nematic liquid crystal flows involving ∂iuj,i,j=1,2,3 is an improvement of Qian (2016). Besides, we also prove the solution is regular if some components of the velocity field and the vectorial field modeling the orientation of the crystal molecules satisfy the Prodi–Serrin type conditions.

Keywords: Nematic liquid crystal flows; Weak solution; Regularity criterion (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316303824
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:258-266

DOI: 10.1016/j.amc.2016.06.011

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().