On the global wellposedness of the 3-D Navier-Stokes equations with large initial data

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dc.creatorChemin, Jean-Yves
dc.creatorGallagher, Isabelle
dc.date2005-08-19
dc.date.accessioned2026-07-07T05:22:31Z
dc.date.available2026-07-07T05:22:31Z
dc.descriptionWe give a condition for the periodic, three dimensional, incompressible Navier-Stokes equations to be globally wellposed. This condition is not a smallness condition on the initial data, as the data is allowed to be arbitrarily large in the scale invariant space $ B^{-1}\_{\infty,\infty}$, which contains all the known spaces in which there is a global solution for small data. The smallness condition is rather a nonlinear type condition on the initial data; an explicit example of such initial data is constructed, which is arbitrarily large and yet gives rise to a global, smooth solution.
dc.identifierhttps://arxiv.org/abs/math/0508374
dc.identifierhttp://arxiv.org/abs/math/0508374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76089
dc.subjectAnalysis of PDEs
dc.titleOn the global wellposedness of the 3-D Navier-Stokes equations with large initial data
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