Estimating the convex relaxation of the ideal magnetohydrodynamics equations

Journal of Mathematical Analysis and Applications 2026 Open access

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Authors: Borbála Fazekas, József J. Kolumbán
DOI: 10.1016/j.jmaa.2026.131109
Cited by: 0

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 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.

Fields of Study & Subjects

Differential Equations and Numerical Methods Navier-Stokes equation solutions Differential Equations and Boundary Problems

Publication details

Journal / source
Journal of Mathematical Analysis and Applications
Volume
567
Issue
1
Pages
131109–131109
Publication date
24 September 2026
Language
EN