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2023•Mathematical Methods in the Applied SciencesRequires access

Energy conservation of the resistive and the non‐resistive magnetohydrodynamic equations

Qionglei Chen, Qi Zhang

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Abstract

In this paper, we provide sufficient conditions on the incompressible viscous resistive MHD equations and the viscous non‐resistive MHD equations to ensure the energy equality. Part of our results also holds for the ideal MHD equations.

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What this paper is about

In this paper, we provide sufficient conditions on the incompressible viscous resistive MHD equations and the viscous non‐resistive MHD equations to ensure the energy equality. Part of our results also holds for the ideal MHD equations.

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Available abstract

In this paper, we provide sufficient conditions on the incompressible viscous resistive MHD equations and the viscous non‐resistive MHD equations to ensure the energy equality. Part of our results also holds for the ideal MHD equations.

Key concepts: Magnetohydrodynamic drive, Magnetohydrodynamics, Resistive touchscreen, Compressibility, Mathematics, Ideal (ethics), Mechanics, Classical mechanics

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Energy conservation of the resistive and the non‐resistive magnetohydrodynamic equations — Research Paper | ScholarLens