Global regularity for the 2D liquid crystal model with mixed partial viscosity

Jishan Fan; Faris Saeed Alzahrani; Tasawar Hayat; Gen Nakamura; Yong Zhou

doi:10.1142/S0219530514500481

Global regularity for the 2D liquid crystal model with mixed partial viscosity

Jishan Fan
, Faris Saeed Alzahrani
, Tasawar Hayat
, Gen Nakamura
, Yong Zhou

Nanjing Forestry University
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University
Inha University
Shanghai University of Finance and Economics

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

15 Scopus citations

Abstract

This paper proves the global existence of strong solutions of the 2D liquid crystal model when 1 = k2 = 0, 2 = k1 = 1 or 1 = k2 = 1, 2 = k1 = 0. We also prove some regularity criteria when 1 = k1 = 1, 2 = k2 = 0 or 1 = k1 = 0, 2 = k2 = 1.

Original language	English
Pages (from-to)	185-200
Number of pages	16
Journal	Analysis and Applications
Volume	13
Issue number	2
DOIs	https://doi.org/10.1142/S0219530514500481
State	Published - 29 Mar 2015
Externally published	Yes

Keywords

Liquid crystal
partial viscosity
regularity criterion

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10.1142/S0219530514500481

Cite this

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title = "Global regularity for the 2D liquid crystal model with mixed partial viscosity",

abstract = "This paper proves the global existence of strong solutions of the 2D liquid crystal model when 1 = k2 = 0, 2 = k1 = 1 or 1 = k2 = 1, 2 = k1 = 0. We also prove some regularity criteria when 1 = k1 = 1, 2 = k2 = 0 or 1 = k1 = 0, 2 = k2 = 1.",

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AU - Fan, Jishan

AU - Alzahrani, Faris Saeed

AU - Hayat, Tasawar

AU - Nakamura, Gen

AU - Zhou, Yong

N1 - Publisher Copyright: © World Scientific Publishing Company.

PY - 2015/3/29

Y1 - 2015/3/29

N2 - This paper proves the global existence of strong solutions of the 2D liquid crystal model when 1 = k2 = 0, 2 = k1 = 1 or 1 = k2 = 1, 2 = k1 = 0. We also prove some regularity criteria when 1 = k1 = 1, 2 = k2 = 0 or 1 = k1 = 0, 2 = k2 = 1.

AB - This paper proves the global existence of strong solutions of the 2D liquid crystal model when 1 = k2 = 0, 2 = k1 = 1 or 1 = k2 = 1, 2 = k1 = 0. We also prove some regularity criteria when 1 = k1 = 1, 2 = k2 = 0 or 1 = k1 = 0, 2 = k2 = 1.

KW - Liquid crystal

KW - partial viscosity

KW - regularity criterion

UR - https://www.scopus.com/pages/publications/84928611350

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DO - 10.1142/S0219530514500481

M3 - Article

AN - SCOPUS:84928611350

SN - 0219-5305

VL - 13

SP - 185

EP - 200

JO - Analysis and Applications

JF - Analysis and Applications

IS - 2

ER -

Global regularity for the 2D liquid crystal model with mixed partial viscosity

Abstract

Keywords

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