Supersonic flow past an airfoil
Analysis of PDEs
2024-01-05 v2
Abstract
We consider a supersonic flow past an airfoil in the context of the steady, isentropic and irrotational compressible Euler equations. We show that for appropriate data, either a shock forms, in which case certain derivatives of the solution blow up, or a sonic line forms, which translates to the fact that the hyperbolic character of the equations degenerates.
Keywords
Cite
@article{arxiv.2312.17408,
title = {Supersonic flow past an airfoil},
author = {Yannis Angelopoulos},
journal= {arXiv preprint arXiv:2312.17408},
year = {2024}
}