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Stability of solution of a hydroelasticity problem for viscous liquid

Petr Velmisov, Andrey Ankilov
The problem about stability of the movement of the elastic plate, which is a part of the border dividing the areas filled with viscous incompressible liquid, is considered. The research method based on creation of Lyapunov's functionals for the related nonlinear system of the partial differential equations for the unknown aerohydrodynamic functions and deformations of plate is used. The sufficient stability conditions of the movement of an elastic plate imposing restrictions on the parameters of mechanical system are received.
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