Mack modes in supersonic boundary layer
Analysis of PDEs
2024-05-09 v1
Abstract
Understanding the transition mechanism of boundary layer flows is of great significance in physics and engineering, especially due to the current development of supersonic and hypersonic aircraft. In this paper, we construct multiple unstable acoustic modes so-called Mack modes, which play a crucial role during the early stage of transition in the supersonic boundary layer. To this end, we develop an inner-outer gluing iteration to solve a hyperbolic-elliptic mixed type and singular system.
Cite
@article{arxiv.2405.04853,
title = {Mack modes in supersonic boundary layer},
author = {Nader Masmoudi and Yuxi Wang and Di Wu and Zhifei Zhang},
journal= {arXiv preprint arXiv:2405.04853},
year = {2024}
}