Long time behavior of Alfv\'en waves in a flowing plasma: mathematical analysis on the generation of the magnetic island

TL;DR

This paper analyzes the long-term behavior of Alfvén waves in flowing plasmas, focusing on the mathematical aspects of magnetic island formation within the linearized MHD framework in a finite channel.

Contribution

It provides a mathematical analysis of magnetic island generation for linearized MHD equations in flowing plasma, highlighting the conditions leading to magnetic reconnection.

Findings

Identification of conditions for magnetic island formation

Mathematical characterization of Alfvén wave behavior

Insights into plasma stability in flowing environments

Abstract

In this paper, we consider the generation of magnetic island for the linearized MHD equations around the steady flowing plasma with velocity field $U_s=(u(y),0)$ and magnetic field $H_s=(b(y),0)$ in the finite channel.