Global Well-Posedness for the Compressible Nematic Liquid Crystal Flows

Miho Murata ()
Additional contact information
Miho Murata: Department of Mathematical and System Engineering, Faculty of Engineering, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu 432-8561, Shizuoka, Japan

Mathematics, 2022, vol. 11, issue 1, 1-26

Abstract: In this paper, we prove the unique existence of global strong solutions and decay estimates for the simplified Ericksen–Leslie system describing compressible nematic liquid crystal flows in R N , 3 ≤ N ≤ 7 . Firstly, we rewrite the system in Lagrange coordinates, and secondly, we prove the global well-posedness for the transformed system, which is the main task in this paper. The proof is based on the maximal L p - L q regularity and the L p - L q decay estimates to the linearized problem.

Keywords: compressible Navier–Stokes equations; global strong solutions; Ericksen–Leslie system; liquid crystals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/1/181/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/1/181/ (text/html)

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:gam:jmathe:v:11:y:2022:i:1:p:181-:d:1019139

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().