Large time decay for the magnetohydrodynamics equations in Sobolev-Gevrey spaces

DOI10.1007/s00605-020-01415-6zbMath1441.35051OpenAlexW3016529285MaRDI QIDQ2189428

Wilberclay G. Melo, Robert H. Guterres, Juliana R. Nunes, Cilon F. Perusato

Publication date: 15 June 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-020-01415-6

zbMATH Keywords

incompressible fluid: three space dimensions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (5)

Time decay rates for the generalized MHD-α equations in Sobolev–Gevrey spaces ⋮ Decay rates for mild solutions of the quasi-geostrophic equation with critical fractional dissipation in Sobolev-Gevrey spaces ⋮ Unnamed Item ⋮ Well-posedness, blow-up criteria and stability for solutions of the generalized MHD equations in Sobolev-Gevrey spaces ⋮ Asymptotic behavior of solutions for the 2D micropolar equations in Sobolev–Gevrey spaces

Cites Work

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• Magneto-micropolar fluid motion: Existence of weak solutions
• On the large time decay of asymmetric flows in homogeneous Sobolev spaces
• Local existence, uniqueness and lower bounds of solutions for the magnetohydrodynamics equations in Sobolev-Gevrey spaces
• Lower bounds on blow-up of solutions for magneto-micropolar fluid systems in homogeneous Sobolev spaces
• On the exponential type explosion of Navier-Stokes equations
• Inéquations en thermoélasticité et magnétohydrodynamique
• Some mathematical questions related to the mhd equations
• Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
• On the blow‐up criterion of the periodic incompressible fluids
• Magneto-micropolar fluid motion: Global existence of strong solutions

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