Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system
Analysis of PDEs
2019-06-17 v1
Abstract
In this paper, we investigate the steady simplified Ericksen-Leslie system. For three dimension, we obtain Liouville theorems if and satisfy the Galdi's[1] condition, or some decay conditions. Note that the simplified Ericksen-Leslie system becomes Navier-Stokes equations when is constant vector.
Keywords
Cite
@article{arxiv.1906.06318,
title = {Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system},
author = {Yihang Hao and Xiangao Liu and Xiaotao Zhang},
journal= {arXiv preprint arXiv:1906.06318},
year = {2019}
}