On the stability of periodic 2D Euler-alpha flows

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dc.creatorPekarsky, Sergey
dc.creatorShkoller, Steve
dc.date2000-07-09
dc.date.accessioned2026-07-07T04:36:18Z
dc.date.available2026-07-07T04:36:18Z
dc.descriptionAn explicit expression is obtained for the sectional curvature in the plane spanned by two stationary flows, cos(k, x) and cos(l, x). It is shown that for certain values of the wave vectors k and l the curvature becomes positive for alpha > alpha_0, where 0 < alpha_0 < 1 is of the order 1/k. This suggests that the flow corresponding to such geodesics becomes more stable as one goes from usual Eulerian description to the Euler-alpha model.
dc.identifierhttps://arxiv.org/abs/math/0007050
dc.identifierhttp://arxiv.org/abs/math/0007050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59547
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35Q35; 53C99
dc.titleOn the stability of periodic 2D Euler-alpha flows
dc.typetext

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