Remarks on the Steady Prandtl Boundary Layer Expansions
Analysis of PDEs
2021-07-20 v1
Abstract
We continue the study of the validity of the Prandtl boundary layer expansions in \cite{GZ}, where by estimating the stream-function of the remainder, we proved if the Euler flow is perturbation of shear flows when the width of domain is small. In this paper, we obtain a new derivatives estimate of stream-function away from the boundary layer and then prove the validity of expansions for any non-shear Euler flow, provided the width of domain is small.
Keywords
Cite
@article{arxiv.2107.08372,
title = {Remarks on the Steady Prandtl Boundary Layer Expansions},
author = {Chen Gao and Liqun Zhang},
journal= {arXiv preprint arXiv:2107.08372},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2001.10700