Boundary layers and the vanishing viscosity limit for incompressible 2D flow
Analysis of PDEs
2007-12-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0712.0875,
title = {Boundary layers and the vanishing viscosity limit for incompressible 2D flow},
author = {Milton C. Lopes Filho},
journal= {arXiv preprint arXiv:0712.0875},
year = {2007}
}
Comments
28 pages