Abstract
Abstract
In this note, we improved the Liouville type theorem for the Beltrami flows. Two different methods are used to prove it, one is the monotonicity method, and another is proof by contradiction. The conditions that we proposed on Beltrami flows are significantly weaker than previously known conditions.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Anhui Province
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference20 articles.
1. Some remarks on Liouville type theorems;Brezis,2008
2. Remarks on a Liouville-type theorem for Beltrami flows;Chae;Int. Math. Res. Not.,2015
3. On the Liouville theorem for weak Beltrami flows;Chae;Nonlinearity,2016
4. On force-free magnetic fields;Chandrasekhar;Proc. Natl Acad. Sci. USA,1956