Weak-strong uniqueness property for the compressible flow of liquid crystals
Analysis of PDEs
2012-05-08 v2 Mathematical Physics
math.MP
Abstract
Weak-strong uniqueness property in the class of finite energy weak solutions is established for two different compressible liquid crystal systems by the method of relative entropy. To overcome the difficulties caused by the molecular direction with inhomogeneous Dirichlet boundary condition, new techniques are introduced to build up the relative entropy inequalities.
Keywords
Cite
@article{arxiv.1203.6745,
title = {Weak-strong uniqueness property for the compressible flow of liquid crystals},
author = {Yong-Fu Yang and Changsheng Dou and Qiangchang Ju},
journal= {arXiv preprint arXiv:1203.6745},
year = {2012}
}
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Submitted for publication