1. Global solution to the nematic liquid crystal flows with heat effect.
- Author
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Bian, Dongfen and Xiao, Yao
- Subjects
- *
NEMATIC liquid crystals , *STOKES equations , *PARTIAL differential equations , *PERTURBATION theory , *DIFFERENTIAL equations - Abstract
The temperature-dependent incompressible nematic liquid crystal flows in a bounded domain Ω ⊂ R N ( N = 2 , 3 ) are studied in this paper. Following Danchin's method in [7] , we use a localization argument to recover the maximal regularity of Stokes equation with variable viscosity, by which we first prove the local existence of a unique strong solution, then extend it to a global one provided that the initial data is a sufficiently small perturbation around the trivial equilibrium state. This paper also generalizes Hu–Wang's result in [21] to the non-isothermal case. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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