Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation

DOI10.1016/j.na.2013.02.019zbMath1278.35203arXiv1302.7050OpenAlexW2154888694MaRDI QIDQ388492

Xinwei Yu, Chuong V. Tran, Zhichun Zhai

Publication date: 19 December 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.7050

zbMATH Keywords

magnetohydrodynamicsglobal regularitygeneralized diffusion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

• Global regularity for a class of generalized magnetohydrodynamic equations
• On global regularity of 2D generalized magnetohydrodynamic equations
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
• Regularity criteria for the 3D generalized MHD equations in terms of vorticity
• Generalized MHD equations.
• Regularity criteria for the generalized viscous MHD equations
• Vorticity and Incompressible Flow
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Global regularity for generalized anisotropic Navier–Stokes equations
• Regularity Criteria for the Generalized MHD Equations
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations
• Unnamed Item

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