Estimating the convex relaxation of the ideal magnetohydrodynamics equations
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 Λ-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.
Authors
- József J. Kolumbán (ORCID: https://orcid.org/0000-0002-0189-9295)
- Borbála Fazekas
Institutions
- HUN-REN Alfréd Rényi Institute of Mathematics (HU)
- University of Debrecen (HU)
- Budapest University of Technology and Economics (HU)
Publication Details
- Journal
- Journal of Mathematical Analysis and Applications
- Published
- 2026-09-24
- DOI
- https://doi.org/10.1016/j.jmaa.2026.131109
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
- Nemzeti Kutatási, Fejlesztési és Innovaciós Alap