Volume 294, Issue 7 pp. 1428-1443
ORIGINAL PAPER

A remark on global strong solution of two-dimensional inhomogeneous nematic liquid crystal flows in a bounded domain

Xin Zhong

Corresponding Author

Xin Zhong

School of Mathematics and Statistics, Southwest University, Chongqing, 400715 People's Republic of China

Correspondence

Xin Zhong, School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China.

Email: [email protected]

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First published: 11 June 2021

Abstract

We study an initial boundary value problem of two-dimensional (2D) inhomogeneous incompressible nematic liquid crystal flows with nonnegative density. It is proved that there exists a unique global strong solution provided that the initial orientation satisfies a geometric condition.

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