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GLOBAL STABILITY FOR THE 2D NEMATIC LIQUID CRYSTAL FLOWS WITH HORIZONTAL VISCOSITY
- Wang, Yinxia;
- Cho, Sun Young
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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 stability; horizontal viscosity; Nematic liquid crystal flows
- 제목
- GLOBAL STABILITY FOR THE 2D NEMATIC LIQUID CRYSTAL FLOWS WITH HORIZONTAL VISCOSITY
- 저자
- Wang, Yinxia; Cho, Sun Young
- 발행일
- 2025-12
- 유형
- Article
- 권
- 26
- 호
- 12
- 페이지
- 3215 ~ 3225