Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain

DOI10.1016/j.jde.2019.10.045zbMath1434.35124arXiv1811.00411OpenAlexW2984596252WikidataQ126800926 ScholiaQ126800926MaRDI QIDQ2293679

Yi Wang, Bijun Zuo

Publication date: 5 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00411

zbMATH Keywords

weak solutionsMHD equationscross-helicity conservation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain ⋮ Energy equality of MHD system under a weaker condition on magnetic field ⋮ Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids ⋮ Refined conserved quantities criteria for the ideal MHD equations in a bounded domain ⋮ Bounded solutions of ideal MHD with compact support in space-time ⋮ Energy conservation for the incompressible inhomogeneous Euler–Korteweg equations in a bounded domain ⋮ Energy conservation for the weak solutions to the ideal inhomogeneous magnetohydrodynamic equations in a bounded domain ⋮ Energy conservation for the nonhomogeneous incompressible Hall-MHD equations in a bounded domain ⋮ Energy equality for weak solutions to the 3D magnetohydrodynamic equations in a bounded domain ⋮ Energy conservation for the nonhomogeneous incompressible ideal Hall-MHD equations

Cites Work

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