Work

A least-action principle for visco-resistive Hall magnetohydrodynamics with metriplectic reformulation

Year: 2026

Type: article

Abstract: We present a new variational formulation for viscous and resistive Hall magnetohydrodynamics. We first find a variational principle for ideal Hall magnetohydrodynamics by applying the physical assumptions leading to Hall magnetohydrodynamics at the Lagrangian level, and then we add the viscous and resistive terms by means of constrained variations. We also provide a metriplectic reformulation of our formulation, based on two canonical Lie–Poisson brackets for the ideal part and metric 4-brackets for the dissipative part.

Source: Journal of Plasma Physics

DOI: 10.1017/s0022377826101317

Authors: Valentin Carlier, Martin Campos-Pinto

Institutions: École Polytechnique Fédérale de Lausanne, Max Planck Institute for Plasma Physics

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

OpenAlex ID: W7143827466