RÉSUMÉ

Development of non-stationary perturbations occurring due to gas slot suction in the laminar boundary layer is studied. Considered for this purpose is an asymptotic solution of the Navier-Stokes equations at the Reynolds number tending to infinity, which describes non-stationary laminar flow near the plate streamlined by the supersonic gas flow on the surface of which the slot suction takes place. The Cauchy problem for the Burgers equation describing the perturbation propagation in the nonlinear inviscid area at the boundary layer bottom is stated. Numerical solutions are obtained.