Optimal Prandtl expansion around concave boundary layer
Analysis of PDEs
2020-05-12 v1
Abstract
We provide an optimal Gevrey stability result for general boundary layer expansions, under a mild concavity condition on the boundary layer profile. Our result generalizes (and even improves in the non strictly concave case) the one obtained in [Gerard-Varet et al, Duke Math. J. 167 (2018)], restricted to expansions of shear flow type.
Cite
@article{arxiv.2005.05022,
title = {Optimal Prandtl expansion around concave boundary layer},
author = {David Gerard-Varet and Yasunori Maekawa and Nader Masmoudi},
journal= {arXiv preprint arXiv:2005.05022},
year = {2020}
}