学术报告（吴笛 6.12）

摘要：The Tollmien-Schlichting (T-S) waves play a key role during the early stage of the boundary layer transition. In a breakthrough work, Grenier, Guo and Nguyen gave a first rigorous construction of the T-S waves of temporal mode for the incompressible fluid. In this paper, we construct the T-S waves of both temporal mode and spatial mode to the linearized compressible Navier-Stokes system around the boundary layer flow in the whole subsonic regime. The proof is based on a new iteration scheme via solving two quasi-compressible systems related to the incompressible part and compressible part respectively. For the incompressible part, the key ingredient is to solve an Orr-Sommerfeld type equation, which is based on a new Airy-Airy-Rayleigh iteration instead of Rayleigh-Airy iteration introduced by Grenier, Guo and Nguyen.