Electric inertia and ideal magnetic reconnection in 2D

TL;DR

This paper proves the global existence, uniqueness, and magnetic reconnection phenomena in 2D inertial magneto-hydrodynamic systems without resistivity, using coupled active scalar systems.

Contribution

It establishes the first rigorous proof of magnetic reconnection in ideal 2D MHD systems without resistivity, including for patch solutions.

Findings

Proves global existence and uniqueness of smooth solutions.

Demonstrates magnetic reconnection without resistivity.

Establishes merger in coupled active scalar systems.

Abstract

We consider inertial magneto-hydrodynamic systems in 2D. We show global existence and uniqueness of smooth solutions and global existence and uniqueness of weak solutions in Yudovich class. We prove magnetic reconnection without magnetic resistivity, for smooth solutions and for patch solutions. This is obtained by proving merger in corresponding systems of coupled active scalars.