Error bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids

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dc.creatorSilva, P. Braz e
dc.creatorRojas-Medar, M. A.
dc.date2005-08-24
dc.date2006-09-20
dc.date.accessioned2026-07-07T06:42:50Z
dc.date.available2026-07-07T06:42:50Z
dc.descriptionWe consider the spectral semi-Galerkin method applied to the nonhomogeneous Navier-Stokes equations. Under certain conditions it is known that the approximate solutions constructed through this method converge to a global strong solution of these equations. Here, we derive an optimal uniform in time error estimate in the $H^1$ norm for the velocity. We also derive an error estimate for the density in some spaces $L^r$.
dc.description22 pages; Some typos were corrected
dc.identifierhttps://arxiv.org/abs/math/0508442
dc.identifierhttp://arxiv.org/abs/math/0508442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102188
dc.subjectAnalysis of PDEs
dc.subject35Q35; 65M15; 65M60;76D99
dc.titleError bounds for semi-Galerkin approximations of nonhomogeneous incompressible fluids
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