Global well-posedness and decay for a Q tensor model of incompressible nematic liquid crystals in RN

Maria Schonbek; Yoshihiro Shibata

doi:10.1016/j.jde.2018.08.050

Global well-posedness and decay for a Q tensor model of incompressible nematic liquid crystals in R^N

Maria Schonbek, Yoshihiro Shibata^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

1 Citation (Scopus)

Abstract

We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional space R^N. We study the global well-posedness of strong solutions in the L_p–L_q maximal regularity class.

Original language	English
Pages (from-to)	3034-3065
Number of pages	32
Journal	Journal of Differential Equations
Volume	266
Issue number	6
DOIs	https://doi.org/10.1016/j.jde.2018.08.050
Publication status	Published - 2019 Mar 5

Keywords

Global solutions in R
Long-time behavior
Nematic liquid crystals
Q tensor description
Quasilinear parabolic evolution equations
Regularity

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jde.2018.08.050

Cite this

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title = "Global well-posedness and decay for a Q tensor model of incompressible nematic liquid crystals in RN ",

abstract = "We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional space RN. We study the global well-posedness of strong solutions in the Lp–Lq maximal regularity class.",

keywords = "Global solutions in R, Long-time behavior, Nematic liquid crystals, Q tensor description, Quasilinear parabolic evolution equations, Regularity",

author = "Maria Schonbek and Yoshihiro Shibata",

note = "Funding Information: Partially supported by JSPS Grant-in-aid for Scientific Research (A) 17H0109 and Top Global University Project of Waseda University. Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

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language = "English",

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AU - Schonbek, Maria

AU - Shibata, Yoshihiro

PY - 2019/3/5

Y1 - 2019/3/5

N2 - We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional space RN. We study the global well-posedness of strong solutions in the Lp–Lq maximal regularity class.

AB - We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional space RN. We study the global well-posedness of strong solutions in the Lp–Lq maximal regularity class.

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KW - Long-time behavior

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KW - Q tensor description

KW - Quasilinear parabolic evolution equations

KW - Regularity

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