Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)779-806
Journal / PublicationCommunications in Mathematical Sciences
Issue number3
Publication statusPublished - 2013
Externally publishedYes


We study the long-time behavior of global strong solutions to a hydrodynamic system for nonhomogeneous incompressible nematic liquid crystal flows driven by two types of external forces in a smooth bounded domain of dimension two. For arbitrary large regular initial data with the initial density being away from vacuum, we prove the decay of the velocity field for both cases. Furthermore, for the case with asymptotically autonomous external force, we can prove the convergence of the density function and the director vector as time goes to infinity. Estimates on the convergence rate are also provided. © 2013 International Press.

Research Area(s)

  • Convergence rate, Long-time behavior, Nonhomogeneous nematic liquid crystal flow, Uniqueness of asymptotic limit