Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

Jishan Fan; Tohru Ozawa

doi:10.3934/dcds.2009.25.859

Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

Jishan Fan^*, Tohru Ozawa

^*Corresponding author for this work

School of Advanced Science and Engineering

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

11 Citations (Scopus)

Abstract

We consider the hydrodynamic theory of liquid crystals. We prove some regularity criteria for a simplified Ericksen-Leslie system. The existence and uniqueness of global smooth solutions is also proved for a regularization model of this simplified system.

Original language	English
Pages (from-to)	859-867
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems
Volume	25
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2009.25.859
Publication status	Published - 2009 Nov

Keywords

Ericksen-Leslie system
Liquid crystals
Navier-stokes equations
Regularity condition

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2009.25.859

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title = "Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals",

abstract = "We consider the hydrodynamic theory of liquid crystals. We prove some regularity criteria for a simplified Ericksen-Leslie system. The existence and uniqueness of global smooth solutions is also proved for a regularization model of this simplified system.",

keywords = "Ericksen-Leslie system, Liquid crystals, Navier-stokes equations, Regularity condition",

author = "Jishan Fan and Tohru Ozawa",

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N2 - We consider the hydrodynamic theory of liquid crystals. We prove some regularity criteria for a simplified Ericksen-Leslie system. The existence and uniqueness of global smooth solutions is also proved for a regularization model of this simplified system.

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KW - Liquid crystals

KW - Navier-stokes equations

KW - Regularity condition

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Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

Abstract

Keywords

ASJC Scopus subject areas

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