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

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

2012-02-21

arxiv.org/abs/1202.4512v1

Mathematics

Analysis of PDEs

Scientific paper

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 in $\mathbb{R}^2$. 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 convergence rate are also provided.

Affiliated with

Also associated with

No associations

Rating

Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-422430