Bifurcation of time-periodic solutions for the incompressible flow of nematic liquid crystals in three dimension

Li Hengyan; Zhao Xin; Yan Weiping

doi:10.1515/anona-2020-0052

Advances in Nonlinear Analysis (Dec 2019)

Bifurcation of time-periodic solutions for the incompressible flow of nematic liquid crystals in three dimension

Li Hengyan,
Zhao Xin,
Yan Weiping

Affiliations

Li Hengyan: School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou, 450011, PR China
Zhao Xin: School of Mathematics and Big Data, Huizhou University, Huizhou, P.R. China
Yan Weiping: School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

DOI: https://doi.org/10.1515/anona-2020-0052
Journal volume & issue: Vol. 9, no. 1
pp. 1315 – 1332

Abstract

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This paper is devoted to the study of the dynamical behavior for the 3D incompressible flow of liquid crystals. We prove that this system under smooth external forces possesses time dependent periodic solutions, bifurcating from a steady solution.

Published in Advances in Nonlinear Analysis

ISSN: 2191-9496 (Print); 2191-950X (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics: Analysis
Website: https://www.degruyter.com/view/j/anona

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