Global Existence of Infinite Energy Solutions for a Perfect Incompressible Fluid

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dc.creatorSaxton, Ralph
dc.creatorTiglay, Feride
dc.date2006-08-27
dc.date2008-01-25
dc.date.accessioned2026-07-07T12:47:15Z
dc.date.available2026-07-07T12:47:15Z
dc.descriptionThis paper provides results on local and global existence for a class of solutions to the Euler equations for an incompressible, inviscid fluid. By considering a class of solutions which exhibits a characteristic growth at infinity we obtain an initial value problem for a nonlocal equation. We establish local well-posedness in all dimensions and persistence in time of these solutions for three and higher dimensions. We also examine a weaker class of global solutions.
dc.identifierhttps://arxiv.org/abs/math/0608670
dc.identifierhttp://arxiv.org/abs/math/0608670
dc.identifierSIAM J. Math. Anal. Volume 40, Issue 4, pp. 1499-1515 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221655
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject76B03, 35Q99, 35B65
dc.titleGlobal Existence of Infinite Energy Solutions for a Perfect Incompressible Fluid
dc.typetext

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