On the blow-up problem and new a priori estimates for the 3D Euler and the Navier-Stokes equations

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dc.creatorChae, Dongho
dc.date2007-11-07
dc.date2007-11-20
dc.date.accessioned2026-07-07T08:43:34Z
dc.date.available2026-07-07T08:43:34Z
dc.descriptionWe study blow-up rates and the blow-up profiles of possible asymptotically self-similar singularities of the 3D Euler equations, where the sense of convergence and self-similarity are considered in various sense. We extend much further, in particular, the previous nonexistence results of self-similar/asymptotically self-similar singularities obtained in \cite{cha1,cha2}. Some implications the notions for the 3D Navier-Stokes equations are also deduced. Generalization of the self-similar transforms is also considered, and by appropriate choice of the transform we obtain new \textit{a priori} estimates for the 3D Euler and the Navier-Stokes equations.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0711.1113
dc.identifierhttp://arxiv.org/abs/0711.1113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142356
dc.subjectAnalysis of PDEs
dc.subject35Q30, 76B03, 76D05
dc.titleOn the blow-up problem and new a priori estimates for the 3D Euler and the Navier-Stokes equations
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