Global Solution to the Nematic Liquid Crystal Flows with Heat Effect
نویسندگان
چکیده
This paper is devoted to studying the temperature-dependent incompressible nematic liquid crystal flows in a bounded domain Ω ⊂ R (N = 2, 3). Inspired by Danchin [J. Math. Fluid Mech. 2006], we use a localization argument to recover the maximal regularity of Stokes equation with variable viscosity. Also the results proved by Lei-Li-Zhang [Proc. Amer. Math. Soc. 2014] are generalized to the case of bounded domain, so as to obtain the decay of the kinetic energy. Finally, the global well-posedness for small perturbation around the trivial equilibrium state is established.
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تاریخ انتشار 2016