Global well-posedness and twist-wave solutions for the inertial Qian–Sheng model of liquid crystals

Francesco De Anna, Arghir Zarnescu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We consider the inertial Qian–Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navier–Stokes system. We study the energy law and prove a global well-posedness result. We further provide an example of twist-wave solutions, that is solutions of the coupled system for which the flow vanishes for all times.

Original languageEnglish (US)
Pages (from-to)1080-1118
Number of pages39
JournalJournal of Differential Equations
Volume264
Issue number2
DOIs
StatePublished - Jan 15 2018

Fingerprint

Incompressible Navier-Stokes
Global Well-posedness
Navier-Stokes System
Twist
Liquid Crystal
Liquid crystals
Coupled System
Vanish
Derivatives
Derivative
Energy
Model

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

@article{0534ff188b634e228b6ef432869cd35b,
title = "Global well-posedness and twist-wave solutions for the inertial Qian–Sheng model of liquid crystals",
abstract = "We consider the inertial Qian–Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navier–Stokes system. We study the energy law and prove a global well-posedness result. We further provide an example of twist-wave solutions, that is solutions of the coupled system for which the flow vanishes for all times.",
author = "{De Anna}, Francesco and Arghir Zarnescu",
year = "2018",
month = "1",
day = "15",
doi = "10.1016/j.jde.2017.09.031",
language = "English (US)",
volume = "264",
pages = "1080--1118",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "2",

}

Global well-posedness and twist-wave solutions for the inertial Qian–Sheng model of liquid crystals. / De Anna, Francesco; Zarnescu, Arghir.

In: Journal of Differential Equations, Vol. 264, No. 2, 15.01.2018, p. 1080-1118.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Global well-posedness and twist-wave solutions for the inertial Qian–Sheng model of liquid crystals

AU - De Anna, Francesco

AU - Zarnescu, Arghir

PY - 2018/1/15

Y1 - 2018/1/15

N2 - We consider the inertial Qian–Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navier–Stokes system. We study the energy law and prove a global well-posedness result. We further provide an example of twist-wave solutions, that is solutions of the coupled system for which the flow vanishes for all times.

AB - We consider the inertial Qian–Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navier–Stokes system. We study the energy law and prove a global well-posedness result. We further provide an example of twist-wave solutions, that is solutions of the coupled system for which the flow vanishes for all times.

UR - http://www.scopus.com/inward/record.url?scp=85030244048&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030244048&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2017.09.031

DO - 10.1016/j.jde.2017.09.031

M3 - Article

VL - 264

SP - 1080

EP - 1118

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 2

ER -