Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals

Guochun Wu; Zhong Tan

Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals

Analysis of PDEs 2012-10-05 v1

Authors: Guochun Wu , Zhong Tan

Abstract

We consider the weak solution of the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in $\mathbb R^3$ . When the initial data is small in $L^2$ and initial density is positive and essentially bounded, we first prove the existence of a global weak solution in $\mathbb R^3$ . The large-time behavior of a global weak solution is also established.

Keywords

compressible flow liquid crystals Ericksen-Leslie system global weak solution large-time behavior initial data

Cite

@article{arxiv.1210.1269,
  title  = {Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals},
  author = {Guochun Wu and Zhong Tan},
  journal= {arXiv preprint arXiv:1210.1269},
  year   = {2012}
}

Comments

arXiv admin note: text overlap with arXiv:1110.0053, arXiv:1004.4749 by other authors

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