Global well-posedness and analyticity results to 3-D generalized magnetohydrodynamic equations

DOI10.1016/j.aml.2016.03.009zbMath1343.35052OpenAlexW2309387999MaRDI QIDQ285089

Taigui Qin, Weihua Wang, Qunyi Bie

Publication date: 18 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.03.009

zbMATH Keywords

Cauchy problemanalyticity of mild solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Cites Work

• On regularity criteria for the 3D incompressible MHD equations involving one velocity component
• Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation
• Global Cauchy problem of 2D generalized MHD equations
• Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations
• A new scaling invariant regularity criterion for the 3D MHD equations in terms of horizontal gradient of horizontal components
• Generalized MHD equations.
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• Remark on an improved regularity criterion for the 3D MHD equations
• Global regularity of the logarithmically supercritical MHD system with zero diffusivity
• Regularity criteria for the generalized viscous MHD equations
• Global well-posedness of the three dimensional magnetohydrodynamics equations
• On regularity criteria for the 2D generalized MHD system
• Logarithmically improved regularity criteria for the 3D viscous MHD equations
• Regularity criteria for the 3D MHD equations in term of velocity
• Global mild solutions of Navier‐Stokes equations
• Existence and analyticity of Lei-Lin solution to the Navier-Stokes equations
• Regularity Criteria for the Generalized MHD Equations

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