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

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

2007-12-06

arxiv.org/abs/0712.0875v1

Mathematics

Analysis of PDEs

28 pages

Scientific paper

This 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.

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