Special Session 3: Recent Mathematical Progress in Boundary Layer Problems

Mack modes in supersonic boundary layer
Di Wu
South China University of Technology
Peoples Rep of China
Co-Author(s):    N. Masmoudi, Y. Wang, Z. Zhang
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 talk, 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.