Global Regularity of the 4D Restricted Euler Equations

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dc.creatorLiu, Hailiang
dc.creatorTadmor, Eitan
dc.creatorWei, Dongming
dc.date2008-10-10
dc.date.accessioned2026-07-07T10:09:24Z
dc.date.available2026-07-07T10:09:24Z
dc.descriptionWe are concerned with the critical threshold phenomena in the Restricted Euler (RE) equations. Using the spectral and trace dynamics we identify the critical thresholds for 3D and the 4D restricted Euler equations. It is well known that the 3D RE solutions blow up. Projected on the 3-sphere, the set of initial eigenvalues which give rise to bounded stable solutions is reduced to a single point, which confirms that 3D RE blowup is generic. In contrast, we identify a surprisingly rich set of the initial spectrum on the 4-sphere which yields global smooth solutions; thus, 4D regularity is generic.
dc.identifierhttps://arxiv.org/abs/0810.1964
dc.identifierhttp://arxiv.org/abs/0810.1964
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171307
dc.subjectAnalysis of PDEs
dc.subject35P15;35B35;35Q35;76B03
dc.titleGlobal Regularity of the 4D Restricted Euler Equations
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