Liquid crystal flows in two dimensions

Fanghua Lin; Junyu Lin; Changyou Wang

doi:10.1007/s00205-009-0278-x

Liquid crystal flows in two dimensions

Fanghua Lin, Junyu Lin, Changyou Wang

Mathematics

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

Abstract

This paper is concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. In dimension two, we establish both interior and boundary regularity theorems for such a flow under smallness conditions. As a consequence, we establish the existence of global (in time) weak solutions on a bounded smooth domain in ℝ which are smooth everywhere with possible exceptions of finitely many singular times.

Original language	English (US)
Pages (from-to)	297-336
Number of pages	40
Journal	Archive for Rational Mechanics and Analysis
Volume	197
Issue number	1
DOIs	https://doi.org/10.1007/s00205-009-0278-x
State	Published - 2010

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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title = "Liquid crystal flows in two dimensions",

abstract = "This paper is concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. In dimension two, we establish both interior and boundary regularity theorems for such a flow under smallness conditions. As a consequence, we establish the existence of global (in time) weak solutions on a bounded smooth domain in ℝ which are smooth everywhere with possible exceptions of finitely many singular times.",

author = "Fanghua Lin and Junyu Lin and Changyou Wang",

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doi = "10.1007/s00205-009-0278-x",

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AU - Lin, Fanghua

AU - Lin, Junyu

AU - Wang, Changyou

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AB - This paper is concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. In dimension two, we establish both interior and boundary regularity theorems for such a flow under smallness conditions. As a consequence, we establish the existence of global (in time) weak solutions on a bounded smooth domain in ℝ which are smooth everywhere with possible exceptions of finitely many singular times.

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Liquid crystal flows in two dimensions

Abstract

ASJC Scopus subject areas

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