A Physics-Informed Neural Network for Solving the Quasi-static Magnetohydrodynamic Equations
Plasma Physics
2026-04-23 v1
Abstract
A physics-informed neural network (PINN) is developed, for the first time, to learn the time-dependent quasi-static magnetohydrodynamic (MHD) equations in axisymmetric tokamak geometry, without any experimental or synthetic data. The initial study considered an ITER-like tokamak and found that a PINN, after careful treatment, was capable of learning the solution to the MHD system and predict a vertically displacing plasma, where general agreement with ground truth simulation was observed. The proof-of-principle demonstration highlights the potential of physics-constrained deep learning to learn complex plasma behavior.
Cite
@article{arxiv.2604.20085,
title = {A Physics-Informed Neural Network for Solving the Quasi-static Magnetohydrodynamic Equations},
author = {Jonathan S. Arnaud and Christopher J. McDevitt and Golo Wimmer and Xian-Zhu Tang},
journal= {arXiv preprint arXiv:2604.20085},
year = {2026}
}