Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system

Autor: Hao, Yihang, Liu, Xiangao, Zhang, Xiaotao
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we investigate the steady simplified Ericksen-Leslie system. For three dimension, we obtain Liouville theorems if $u$ and $\nabla d$ satisfy the Galdi's[1] condition, or some decay conditions. Note that the simplified Ericksen-Leslie system becomes Navier-Stokes equations when $d$ is constant vector.
Databáze: arXiv