Energy dissipation and self-similar solutions for an unforced inviscid dyadic model

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dc.creatorBarbato, D.
dc.creatorFlandoli, F.
dc.creatorMorandin, F.
dc.date2008-11-11
dc.date.accessioned2026-07-07T10:17:27Z
dc.date.available2026-07-07T10:17:27Z
dc.descriptionA shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved and decay of energy like $t^{-2}$ is established. Self-similar decaying positive solutions are introduced and proved to exist and classified. Coalescence and blow-up are obtained as a consequence, in the class of arbitrary sign solutions.
dc.description30 pages, submitted to Trans. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/0811.1689
dc.identifierhttp://arxiv.org/abs/0811.1689
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173860
dc.subjectAnalysis of PDEs
dc.subject35Q30, 35Q35, 76B03
dc.titleEnergy dissipation and self-similar solutions for an unforced inviscid dyadic model
dc.typetext

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