Estimating the convex relaxation of the ideal magnetohydrodynamics equations
Analysis of PDEs
2025-05-16 v1
Abstract
We investigate the explicit convex relaxation of the ideal magnetohydrodynamics equations. We provide a non-trivial lower estimate on the lamination hull and an upper estimate on the -convex hull, the latter providing inequalities which will be satisfied by weak limits of weak solution of the ideal MHD equations, which serve as a model of averaged turbulent magnetohydrodynamical flows.
Keywords
Cite
@article{arxiv.2505.10230,
title = {Estimating the convex relaxation of the ideal magnetohydrodynamics equations},
author = {Borbála Fazekas and József J. Kolumbán},
journal= {arXiv preprint arXiv:2505.10230},
year = {2025}
}