On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in RN

Maria Schonbek; Yoshihiro Shibata

doi:10.1007/s00028-016-0358-y

On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in R^N

Maria Schonbek, Yoshihiro Shibata^*

^*この研究の対応する著者

基幹理工学部

研究成果: Article › 査読

6 被引用数 (Scopus)

抄録

We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional whole space. We prove the global well-posedness of strong solutions for small initial data by combining the maximal L_p- L_q regularities and L_p- L_q decay properties of solutions for the Stokes equations and heat equations. As a result, we also proved the decay properties of the solutions to the nonlinear equations.

本文言語	English
ページ（範囲）	537-550
ページ数	14
ジャーナル	Journal of Evolution Equations
巻	17
号	1
DOI	https://doi.org/10.1007/s00028-016-0358-y
出版ステータス	Published - 2017 3月 1

ASJC Scopus subject areas

数学（その他）

文献へのアクセス

10.1007/s00028-016-0358-y

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引用スタイル

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KW - Regularity

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