Boundary layers and the vanishing viscosity limit for incompressible 2D flow

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dc.creatorFilho, Milton C. Lopes
dc.date2007-12-06
dc.date.accessioned2026-07-07T08:47:38Z
dc.date.available2026-07-07T08:47:38Z
dc.descriptionThis manuscript is a survey on results related to boundary layers and the vanishing viscosity limit for incompressible flow. It is the lecture notes for a 10 hour minicourse given at the Morningside Center, Academia Sinica, Beijing, PRC from 11/28 to 12/07, 2007. The main topics covered are: a derivation of Prandtl's boundary layer equation; an outline of the rigorous theory of Prandtl's equation, without proofs; Kato's criterion for the vanishing viscosity limit; the vanishing viscosity limit with Navier friction condition; rigorous boundary layer theory for the Navier friction condition and boundary layers for flows in a rotating cylinder.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0712.0875
dc.identifierhttp://arxiv.org/abs/0712.0875
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143668
dc.subjectAnalysis of PDEs
dc.subject76D10; 35Q30
dc.titleBoundary layers and the vanishing viscosity limit for incompressible 2D flow
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