Large time decay for the magnetohydrodynamics system in \(\dot{H}^s (\mathbb{R}^n)\)

DOI10.1007/s10440-019-00276-yzbMath1447.35064OpenAlexW2964999740MaRDI QIDQ2200064

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

Publication date: 15 September 2020

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-019-00276-y

zbMATH Keywords

long time behavior\(L^q\) estimatesdecay rates in homogeneous Sobolev spacesMHD incompressibletime decay of derivatives

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Related Items (6)

Time decay rates for the generalized MHD-α equations in Sobolev–Gevrey spaces ⋮ Stability and large time decay for the three-dimensional magneto-micropolar equations with mixed partial viscosity ⋮ Decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium ⋮ Optimal decay rates for \(n\)-dimensional generalized magnetohydrodynamic equations ⋮ Upper and lower \(\dot{H}^m\) estimates for solutions to parabolic equations ⋮ On the generalized Magnetohydrodynamics-\(\alpha\) equations with fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces

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