A Tamed 3D Navier-Stokes Equation in Domains

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dc.creatorZhang, Xicheng
dc.date2008-06-10
dc.date.accessioned2026-07-07T09:43:35Z
dc.date.available2026-07-07T09:43:35Z
dc.descriptionIn this paper, we analyze a tamed 3D Navier-Stokes equation in uniform $C^2$-domains (not necessarily bounded), which obeys the scaling invariance principle, and prove the existence and uniqueness of strong solutions to this tamed equation. In particular, if there exists a bounded solution to the classical 3D Navier-Stokes equation, then this solution satisfies our tamed equation. Moreover, the existence of a global attractor for the tamed equation in bounded domains is also proved. As simple applications, some well known results for the classical Navier-Stokes equations in unbounded domains are covered.
dc.description23Pages
dc.identifierhttps://arxiv.org/abs/0806.1600
dc.identifierhttp://arxiv.org/abs/0806.1600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162613
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.titleA Tamed 3D Navier-Stokes Equation in Domains
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