Instability results for transonic flows past airfoils
Analysis of PDEs
2021-09-29 v1
Abstract
In this short note we present an instability result for transonic flows with respect to perturbations of the Mach number at infinity. More specifically we show that a perturbation of a transonic solution in the context of a Cauchy problem for the 2-dimensional steady, isentropic and irrotational Euler equations, which is a solution that solves an elliptic equation in certain parts of its domain and a hyperbolic equation in other parts, can only take place in the analytic category if the elliptic part of the domain is affected.
Cite
@article{arxiv.2109.13369,
title = {Instability results for transonic flows past airfoils},
author = {Yannis Angelopoulos},
journal= {arXiv preprint arXiv:2109.13369},
year = {2021}
}