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

Research output: Contribution to journal › Article

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
Journal	Journal of Differential Equations
DOIs	https://doi.org/10.1016/j.jde.2018.08.050
Publication status	Accepted/In press - 2018 Jan 1

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Keywords

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

ASJC Scopus subject areas

Analysis

Cite this

Schonbek, M., & Shibata, Y. (Accepted/In press). Global well-posedness and decay for a Q tensor model of incompressible nematic liquid crystals in R^N Journal of Differential Equations. https://doi.org/10.1016/j.jde.2018.08.050

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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",

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KW - Quasilinear parabolic evolution equations

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Access to Document

10.1016/j.jde.2018.08.050