Relaxation of the kinematic dynamo equations

TL;DR

This paper computes the exact relaxation and $\\Lambda$-convex hull of the kinematic dynamo equations, revealing their equivalence and providing insights into the stationary case.

Contribution

It introduces the exact relaxation and $\\Lambda$-convex hull for the kinematic dynamo equations, showing their coincidence and analyzing the stationary case.

Findings

Relaxation and $\\Lambda$-convex hull coincide for the equations.

Explicit relaxation in the stationary case.

Provides a mathematical framework for understanding the equations' relaxation.

Abstract

We compute the exact relaxation and $\Lambda$-convex hull of the kinematic dynamo equations and show that they coincide. We also find the relaxation in the stationary case.