On the inviscid limit of the Navier-Stokes equations

Author(s): Constantin, Peter; Kukavica, Igor; Vicol, Vlad C.

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DC Field	Value	Language
dc.contributor.author	Constantin, Peter	-
dc.contributor.author	Kukavica, Igor	-
dc.contributor.author	Vicol, Vlad C.	-
dc.date.accessioned	2017-11-21T19:19:33Z	-
dc.date.available	2017-11-21T19:19:33Z	-
dc.date.issued	2015-07	en_US
dc.identifier.citation	Constantin, Peter, Kukavica, Igor, Vicol, Vlad. (On the inviscid limit of the Navier-Stokes equations, Proc. Amer. Math. Soc. 143 (2015), no. 7, 3075–3090. MR 3336632, https://doi.org/10.1090/S0002-9939-2015-12638-X	en_US
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1hs8x	-
dc.description.abstract	We consider the convergence in the $L^2$ norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions. We prove that if the Oleinik conditions of no back-flow in the trace of the Euler flow, and of a lower bound for the Navier-Stokes vorticity is assumed in a Kato-like boundary layer, then the inviscid limit holds.	en_US
dc.format.extent	3075-3090	en_US
dc.language.iso	en	en_US
dc.relation.ispartof	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY	en_US
dc.rights	Author's manuscript	en_US
dc.title	On the inviscid limit of the Navier-Stokes equations	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	10.1090/S0002-9939-2015-12638-X	-
dc.date.eissued	2015-03-04	en_US
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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