Local existence results in Sobolev spaces for generalized magnetohydrodynamics equations

DOI10.1002/MMA.9863zbMATH Open1547.76125WikidataQ129291168 ScholiaQ129291168MaRDI QIDQ6551587

Yong Zhou, Hyunseok Kim

Publication date: 7 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesexistencegeneralized MHD equations

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• Title not available (Why is that?)
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• An \(L_q(L_p)\)-theory for parabolic pseudo-differential equations: Calderón-Zygmund approach
• Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
• Local existence for the non-resistive MHD equations in Besov spaces
• Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
• Generalized MHD equations.
• Weak and classical solutions of the two-dimensional magnetohydrodynamic equations
• Commutator estimates with fractional derivatives and local existence for the generalized MHD equations
• Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
• Regularity criteria for the generalized viscous MHD equations
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Regularity Criteria for the Generalized MHD Equations

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