Abstract and Applied Analysis

Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows

Yong Zhou, Jishan Fan, and Gen Nakamura

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Abstract

The initial-boundary value problem for the density-dependent flow of nematic crystals is studied in a 2-D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocity u 0 and small d 0 . We also give a regularity criterion d L p ( 0 , T ; L q ( Ω ) )    (2 / q) + (2 / p) = 1 , 2 < q of the problem with the Dirichlet boundary condition u = 0 , d = d 0 on Ω .

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 947291, 5 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511778

Digital Object Identifier
doi:10.1155/2013/947291

Mathematical Reviews number (MathSciNet)
MR3035314

Zentralblatt MATH identifier
1328.76008

Citation

Zhou, Yong; Fan, Jishan; Nakamura, Gen. Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows. Abstr. Appl. Anal. 2013 (2013), Article ID 947291, 5 pages. doi:10.1155/2013/947291. https://projecteuclid.org/euclid.aaa/1393511778


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