Electric inertia and ideal magnetic reconnection in 2D
Analysis of PDEs
2026-04-20 v1
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.
Keywords
Cite
@article{arxiv.2604.15568,
title = {Electric inertia and ideal magnetic reconnection in 2D},
author = {Peter Constantin and Zhongtian Hu},
journal= {arXiv preprint arXiv:2604.15568},
year = {2026}
}