Remarks on Boundary Layer Expansions
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
A systematic mathematical methodology for derivation of boundary layer expansions is presented. An explicit calculation of boundary layer sizes is given and proved to be coordinates system independent. It relies on asymptotic properties of symbols of operators. Several examples, including the quasigeostrophic model, are discussed.
Cite
@article{arxiv.math/0606525,
title = {Remarks on Boundary Layer Expansions},
author = {David Gerard-Varet and Thierry Paul},
journal= {arXiv preprint arXiv:math/0606525},
year = {2007}
}