arXiv:0901.1751 Abstract | arXiv Analytics

arXiv:0901.1751 [math.AP]Abstract References Reviews Resources

Asymptotic Behavior for a Nematic Liquid Crystal Model with Different Kinematic Transport Properties

Published 2009-01-13, updated 2010-10-29Version 2

We study the asymptotic behavior of global solutions to hydrodynamical systems modeling the nematic liquid crystal flows under kinematic transports for molecules of different shapes. The coupling system consists of Navier-Stokes equations and kinematic transport equations for the molecular orientations. We prove the convergence of global strong solutions to single steady states as time tends to infinity as well as estimates on the convergence rate both in 2D for arbitrary regular initial data and in 3D for certain particular cases.

Journal: Calc. Var. Partial Differential Equations, 45 (3&4) (2012), 319-345

DOI: 10.1007/s00526-011-0460-5

Categories: math.AP

Subjects: 35B40, 35B41, 35Q35, 76D05

Keywords: nematic liquid crystal model, kinematic transport properties, asymptotic behavior, nematic liquid crystal flows, arbitrary regular initial data

Tags: journal article

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