GLOBAL STABILITY FOR THE 2D NEMATIC LIQUID CRYSTAL FLOWS WITH HORIZONTAL VISCOSITY
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초록

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.

키워드

global stabilityhorizontal viscosityNematic liquid crystal flows
제목
GLOBAL STABILITY FOR THE 2D NEMATIC LIQUID CRYSTAL FLOWS WITH HORIZONTAL VISCOSITY
저자
Wang, YinxiaCho, Sun Young
발행일
2025-12
유형
Article
저널명
Journal of Nonlinear and Convex Analysis
26
12
페이지
3215 ~ 3225