An improved Liouville type theorem for Beltrami flows

TL;DR

This paper presents an improved Liouville type theorem for Beltrami flows, employing two methods to establish weaker conditions under which the theorem holds, advancing understanding of these flows.

Contribution

It introduces significantly weaker conditions for the Liouville theorem for Beltrami flows and uses two distinct proof methods to establish the result.

Findings

Weaker conditions for Liouville theorem established

Monotonicity method applied successfully

Proof by contradiction also used to verify results

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 the other is proof by contradiction. The conditions that we proposed on Beltrami flows are significantly weaker than previously known conditions.