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The energy equality of the magnetohydrodynamic system in the framework of Lebesgue-Besov and Lorentz-Besov spaces

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Publication:6614301
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DOI10.1016/j.jmaa.2024.128457MaRDI QIDQ6614301

Taichi Eguchi

Publication date: 7 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)



zbMATH Keywords

Besov spaceLorentz spaceBoussinesq equationsenergy equalityMHD systemOnsager's conjecture


Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)








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