Stability of the problem on the protective shield in the supersonic air flow.

The stability of solutions of initial-boundary value problem for the related system of differential equations describing the dynamics of the elastic wall of the container filled with gas (liquid), and its interaction with a supersonic flow of gas (liquid). Definition of stability of the elastic body corresponds to the concept of dynamical systems, Lyapunov. We obtain sufficient conditions for stability, imposing limits on flow rate, the flexural rigidity of the elastic walls and other parameters of the mechanical system