Local existence, uniqueness and lower bounds of solutions for the magnetohydrodynamics equations in Sobolev-Gevrey spaces

DOI10.1016/j.jmaa.2019.123524zbMath1431.35104OpenAlexW2975818571WikidataQ127174546 ScholiaQ127174546MaRDI QIDQ2011232

Natã Firmino Rocha, Wilberclay G. Melo, Paulo R. Zingano

Publication date: 28 November 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123524

zbMATH Keywords

lower boundsMHD equationsSobolev-Gevrey spaceslocal existence and uniqueness of solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Blow-up in context of PDEs (35B44)

Related Items (9)

Time decay rates for the generalized MHD-α equations in Sobolev–Gevrey spaces ⋮ New blow‐up criteria for local solutions of the 3D generalized MHD equations in Lei–Lin–Gevrey spaces ⋮ Large time decay for the magnetohydrodynamics equations in Sobolev-Gevrey spaces ⋮ Limit stationary measures of the stochastic magnetohydrodynamic system in a 3D thin domain ⋮ Decay rates for mild solutions of the quasi-geostrophic equation with critical fractional dissipation in Sobolev-Gevrey spaces ⋮ Unnamed Item ⋮ Global well-posedness of the 3D generalized MHD equations in Lei-Lin-Gevrey and Lei-Lin spaces ⋮ 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 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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