Vanishing viscosity and the accumulation of vorticity on the boundary

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dc.creatorKelliher, James P.
dc.date2008-05-15
dc.date.accessioned2026-07-07T12:53:00Z
dc.date.available2026-07-07T12:53:00Z
dc.descriptionWe say that the vanishing viscosity limit holds in the classical sense if the velocity for a solution to the Navier-Stokes equations converges in the energy norm uniformly in time to the velocity for a solution to the Euler equations. We prove, for a bounded domain in dimension 2 or higher, that the vanishing viscosity limit holds in the classical sense if and only if a vortex sheet forms on the boundary.
dc.identifierhttps://arxiv.org/abs/0805.2402
dc.identifierhttp://arxiv.org/abs/0805.2402
dc.identifierCommunications in Mathematical Sciences, 6(4):869-880, 2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223478
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject76D05; 76B99; 76D99
dc.titleVanishing viscosity and the accumulation of vorticity on the boundary
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