Mathematics – Analysis of PDEs
Scientific paper
2012-04-23
Mathematics
Analysis of PDEs
46pages. arXiv admin note: text overlap with arXiv:1104.5685 and arXiv:1104.5684
Scientific paper
This paper is concerned with the three-dimensional equations of a simplified hydrodynamic flow modeling the motion of compressible, nematic liquid crystal materials. The authors establish the global existence of classical solution to the Cauchy problem with smooth initial data which are of small energy but possibly large oscillations with constant state as far-field condition which could be either vacuum or non-vacuum. The initial density is allowed to vanish and the spatial measure of the set of vacuum can be arbitrarily large, in particular, the initial density can even have compact support. As a byproduct, the large-time behavior of the solution is also studied.
Li Jing
Xu Zhonghai
Zhang Jianwen
No associations
LandOfFree
Global Well-Posedness with Large Oscillations and Vacuum to the Three-Dimensional Equations of Compressible Nematic Liquid Crystal Flows 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 Global Well-Posedness with Large Oscillations and Vacuum to the Three-Dimensional Equations of Compressible Nematic Liquid Crystal Flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global Well-Posedness with Large Oscillations and Vacuum to the Three-Dimensional Equations of Compressible Nematic Liquid Crystal Flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-443531