Wellposedness for the magnetohydrodynamics equation in critical space

DOI10.1080/00036810802272641zbMath1149.76059OpenAlexW1977114461WikidataQ58174516 ScholiaQ58174516MaRDI QIDQ3541154

Jun Yong Zhang

Publication date: 25 November 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802272641

zbMATH Keywords

existenceBesov spaceuniquenessLittlewood-Paley decompositioncontraction argument

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (3)

On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces ⋮ Asymmetric and moving-frame approaches to MHD equations ⋮ Almost sure existence of global weak solutions for incompressible MHD equations in negative-order Sobolev space

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• Regularity results for weak solutions of the 3D MHD equations.
• Some mathematical questions related to the mhd equations
• A Losing Estimate for the Ideal MHD Equations with Application to Blow‐up Criterion
• Regularity Criteria for the Generalized MHD Equations
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