The second iterate for the Navier-Stokes equation

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dc.creatorGermain, Pierre
dc.date2008-06-27
dc.date.accessioned2026-07-07T09:47:12Z
dc.date.available2026-07-07T09:47:12Z
dc.descriptionWe consider the iterative resolution scheme for the Navier-Stokes equation, and focus on the second iterate, more precisely on the map from the initial data to the second iterate at a given time t. We investigate boundedness properties of this bilinear operator. This new approach yields very interesting results: a new perspective on Koch-Tataru solutions; a first step towards weak strong uniqueness for Koch-Tataru solutions; and finally an instability result in $B^{-1}_{\infty,q}$, for q>2.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0806.4525
dc.identifierhttp://arxiv.org/abs/0806.4525
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163789
dc.subjectAnalysis of PDEs
dc.subject35Q30 ; 42B25 ; 42B99
dc.titleThe second iterate for the Navier-Stokes equation
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