On two-dimensional magnetohydrodynamic equations with fractional diffusion

DOI10.1016/j.na.2012.11.008zbMath1402.35224OpenAlexW1967635540MaRDI QIDQ1937574

Eunjeong Ji

Publication date: 1 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.na.2012.11.008

zbMATH Keywords

existenceFourier series methodMHD equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fractional partial differential equations (35R11)

Related Items (7)

On regularity criteria for the 2D generalized MHD system ⋮ On well-posedness of generalized Hall-magneto-hydrodynamics ⋮ Global Cauchy problem of 2D generalized MHD equations ⋮ Remarks on regularity criteria for the 2D generalized MHD system in Besov spaces ⋮ A regularity criterion for the 3D generalized MHD equations ⋮ Global regularity of \(n\) dimensional generalized MHD equations without magnetic diffusion ⋮ Global regularity for the incompressible MHD-\({\alpha}\) system with fractional diffusion

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