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

Francesco De Anna; Arghir Zarnescu

doi:10.1016/j.jde.2017.09.031

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

Francesco De Anna
, Arghir Zarnescu

Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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 language	English (US)
Pages (from-to)	1080-1118
Number of pages	39
Journal	Journal of Differential Equations
Volume	264
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2017.09.031
State	Published - Jan 15 2018

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2017.09.031

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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.",

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AU - De Anna, Francesco

AU - Zarnescu, Arghir

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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 - https://www.scopus.com/pages/publications/85030244048

UR - https://www.scopus.com/pages/publications/85030244048#tab=citedBy

U2 - 10.1016/j.jde.2017.09.031

DO - 10.1016/j.jde.2017.09.031

M3 - Article

AN - SCOPUS:85030244048

SN - 0022-0396

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EP - 1118

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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