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GLOBAL STABILITY FOR THE 2D NEMATIC LIQUID CRYSTAL FLOWS WITH HORIZONTAL VISCOSITY
- Authors
- Wang, Yinxia; Cho, Sun Young
- Issue Date
- Dec-2025
- Publisher
- Yokohama Publications
- Keywords
- global stability; horizontal viscosity; Nematic liquid crystal flows
- Citation
- Journal of Nonlinear and Convex Analysis, v.26, no.12, pp 3215 - 3225
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Nonlinear and Convex Analysis
- Volume
- 26
- Number
- 12
- Start Page
- 3215
- End Page
- 3225
- ISSN
- 1345-4773
1880-5221
- Abstract
- In this paper, we investigate the stability problem for the two dimensional nematic liquid crystal flows with horizontal viscosity in the spatial domain T × ℝ. Based on the energy estimate, anisotropic type Sobolev inequality, Poincaré type inequality and bootstrapping argument, global stability is established when the initial data axe closed to an equilibrium state and sufñciently small.
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