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arXiv · 1906.06318

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

Yihang Hao·Xiangao Liu·Xiaotao Zhang
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Abstract

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.

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Yihang Hao, Xiangao Liu, Xiaotao Zhang. 2019-06-14. Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system. https://arxiv.org/abs/1906.06318

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