Estimating the convex relaxation of the ideal magnetohydrodynamics equations

Borbála Fazekas; József J. Kolumbán

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arXiv · 2505.10230

Estimating the convex relaxation of the ideal magnetohydrodynamics equations

Borbála Fazekas·József J. Kolumbán

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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 $\Lambda$-convex hull, the latter providing inequalities which will be satisfied by weak limits of weak solutions of the ideal MHD equations, which serve as a model of averaged turbulent magnetohydrodynamical flows.

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Borbála Fazekas, József J. Kolumbán. 2025-05-15. Estimating the convex relaxation of the ideal magnetohydrodynamics equations. https://arxiv.org/abs/2505.10230

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