2000 character limit reached
Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system
Published 14 Jun 2019 in math.AP | (1906.06318v1)
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.