The low Mach number limit for the compressible flow of liquid crystals

Guohua Qi and Jiang Xu

Applied Mathematics and Computation, 2017, vol. 297, issue C, 39-49

Abstract: In this paper, we are concerned with the compressible flow of liquid crystals. Based on the convergence–stability principle, it is shown that, for the Mach number sufficiently small, the Cauchy problem of compressible liquid crystal flow has a unique smooth solution on the (finite) time interval where the incompressible liquid crystal flow exists. Furthermore, it is justified that, as the Mach number tends to zero, the smooth solutions converge rigorously to those of the incompressible equations, and the sharp convergence orders are also obtained.

Keywords: Liquid crystal flow; Convergence–stability principle; Low Mach number limit (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316306245
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:297:y:2017:i:c:p:39-49

DOI: 10.1016/j.amc.2016.10.026

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 ().