A class of exact solutions for \(N\)-dimensional incompressible magnetohydrodynamic equations

DOI10.1007/s10483-016-2025-8zbMath1336.35298OpenAlexW2335996210MaRDI QIDQ285748

Ping Liu

Publication date: 19 May 2016

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2025-8

zbMATH Keywords

exact solutionquadratic formsymmetric matrixcurve integrationincompressible magnetohydrodynamic (MHD) equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Solutions to PDEs in closed form (35C05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Cites Work

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• On global regularity of 2D generalized magnetohydrodynamic equations
• Two regularity criteria to the 2D generalized MHD equations with zero magnetic diffusivity
• Exact solutions of the unsteady two-dimensional Navier-Stokes equations
• Bounds and new approaches for the 3D MHD equations
• Regularity criteria for the 2D MHD system with horizontal dissipation and horizontal magnetic diffusion
• Inéquations en thermoélasticité et magnétohydrodynamique
• SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP

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