In this paper, we consider the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R3, and provide a regularity criterion involving the velocity field in BMO space norm. This work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one.

A Regularity Criterion for the 3D Density-Dependent MHD Equations

Ragusa M. A.;
2020-01-01

Abstract

In this paper, we consider the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R3, and provide a regularity criterion involving the velocity field in BMO space norm. This work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one.
2020
BMO spaces; Density-dependent MHD equations; Regularity criterion
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/389347
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