Abstract:

This work studies the sensitivity of spectral projectors in boundary-layer  spatial stability problems to uncertainties of the main flow. It is proposed to use structured  integral criteria for the dichotomy quality for this purpose. The presentation is based on an example of the flow of a viscous incompressible fluid over a slightly concave surface with flow parameters favorable for the development of the G\"{o}rtler vortices and Tollmien–Schlichting waves.