Well-posedness, blow-up criteria and stability for solutions of the generalized MHD equations in Sobolev-Gevrey spaces

DOI10.1007/s10440-021-00448-9zbMath1482.35154OpenAlexW3209937037MaRDI QIDQ2051417

Thyago S. R. Santos, Natã Firmino Rocha, Robert H. Guterres, Wilberclay G. Melo

Publication date: 24 November 2021

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

Full work available at URL: https://doi.org/10.1007/s10440-021-00448-9

zbMATH Keywords

existence of solutionsblow-up criteriageneralized MHD equationsSobolev-Gevrey spacesstability for global solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Geo-electricity and geomagnetism (86A25) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces ⋮ Decay rates for mild solutions of the quasi-geostrophic equation with critical fractional dissipation in Sobolev-Gevrey spaces ⋮ Unnamed Item

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