Mack modes in supersonic boundary layer
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.
Authors
- Zhifei Zhang
- Y.-G. Wang (ORCID: https://orcid.org/0000-0001-9084-065X)
- Nader Masmoudi (ORCID: https://orcid.org/0000-0002-8102-8130)
- Di Wu (ORCID: https://orcid.org/0000-0003-1664-5893)
Institutions
- New York University Abu Dhabi (AE)
- Peking University (CN)
- Sichuan University (CN)
- Courant Institute of Mathematical Sciences (US)
- New York University (US)
- South China University of Technology (CN)
Publication Details
- Journal
- Communications on Pure and Applied Mathematics
- Published
- 2025-11-20
- DOI
- https://doi.org/10.1002/cpa.70022
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- National Natural Science Foundation of China