The Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations

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dc.creatorChen, Qionglei
dc.creatorMiao, Changxing
dc.creatorZhang, Zhifei
dc.date2007-01-02
dc.date.accessioned2026-07-07T10:08:36Z
dc.date.available2026-07-07T10:08:36Z
dc.descriptionWe study the blow-up criterion of smooth solutions to the 3D MHD equations. By means of the Littlewood-Paley decomposition, we prove a Beale-Kato-Majda type blow-up criterion of smooth solutions via the vorticity of velocity only, i. e. $\sup_{j\in\Z}\int_0^T\|Δ_j(\na\times u)\|_\infty dt$, where $Δ_j$ is a frequency localization on $|ξ|\approx 2^j$.
dc.description12pages
dc.identifierhttps://arxiv.org/abs/math/0701054
dc.identifierhttp://arxiv.org/abs/math/0701054
dc.identifierCommun. Math. Phys. 275(2007)861-872
dc.identifierdoi:10.1007/s00220-007-0319-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171050
dc.subjectAnalysis of PDEs
dc.subject76W05, 35B65
dc.titleThe Beale-Kato-Majda criterion to the 3D Magneto-hydrodynamics equations
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