Energy equality and uniqueness of weak solutions to MHD equations in \(L^{\infty }(0,T;L^n (\Omega ))\)

DOI10.1007/s10114-009-7214-8zbMath1178.35307OpenAlexW2070821457MaRDI QIDQ1034304

Yan Yong, Quan-sen Jiu

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7214-8

zbMATH Keywords

uniquenessweak solutionsenergy equalityMHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Related Items (6)

Note on energy equality of MHD system ⋮ Dynamic bifurcation for the granulation convection in the solar photosphere ⋮ Energy conservation and regularity for the 3D magneto-hydrodynamics equations ⋮ Energy equality of MHD system under a weaker condition on magnetic field ⋮ Pullback attractors for 2D MHD equations on time-varying domains ⋮ Pullback attractors for 2D MHD equations with delays

Cites Work

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• Remarks on regularities for the 3D MHD equations
• On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations
• Weak solutions of Navier-Stokes equations
• Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains
• On the regularity of weak solutions to the magnetohydrodynamic equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

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