On the blow-up criterion of smooth solutions to the 3D ideal MHD equations

DOI10.1007/s10255-004-0207-6zbMath1138.35382OpenAlexW2083115028MaRDI QIDQ705056

Zhifei Zhang, Xiao-Feng Liu

Publication date: 25 January 2005

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

Full work available at URL: https://doi.org/10.1007/s10255-004-0207-6

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (22)

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Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• The boundedness of Calderón-Zygmund operators on the spaces \(\dot F_ p^{\alpha,q}\)
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Vorticity and Incompressible Flow
• Unnamed Item

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