A new regularity criterion for the three-dimensional incompressible magnetohydrodynamic equations in the Besov spaces

DOI10.1155/2021/4227796zbMath1473.35086OpenAlexW3196785510MaRDI QIDQ2230009

Yanyan Li

Publication date: 17 September 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/4227796

zbMATH Keywords

pressure regularity

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)

Related Items (1)

A blow-up criterion for 3D nonhomogeneous incompressible magnetohydrodynamic equations with vacuum

Cites Work

• Unnamed Item
• An improved regularity criterion of three-dimensional magnetohydrodynamic equations
• A new regularity criterion for the 3D incompressible MHD equations in terms of one component of the gradient of pressure
• Remarks on regularities for the 3D MHD equations
• Remarks on the regularity criteria for generalized MHD equations
• A new regularity criterion in terms of the direction of the velocity for the MHD equations
• A note on regularity criteria in terms of pressure for the 3D viscous MHD equations
• Two regularity criteria for the 3D MHD equations
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• On regularity for the 3D MHD equations via one directional derivative of the pressure
• Conditional regularity for the 3D MHD equations in the critical Besov space
• A new regularity criterion for the 3D MHD equations involving partial components
• On the regularity of generalized MHD equations
• A new regularity criterion for the 3D incompressible MHD equations via partial derivatives
• Global regularity of \(n\) dimensional generalized MHD equations without magnetic diffusion
• Regularity criteria for the generalized viscous MHD equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Some mathematical questions related to the mhd equations

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