One of the most critical practical challenges is the problem of aircraft wing flutter and empennage. Confining ourselves to consideration of a wing, it is possible to formulate several physical models for its description. It was decided to choose and take into consideration the simplest one which is to consider an infinite plate which is flowed by a supersonic gas flow. There are two points of view on the force by means of which the flow impacts the plate. The first one is connected with oscillations around the Earth, i.e. in inertial frame of reference, while the second one is related with translational motion in the flow, i.e. in non-inertial frame of reference. Conformable to the above, such force can be divided into two components which are strongly related to dissipation: 1) properly resistance (from the first point of view) and 2) dissipation in flow (according to the second point of view). It has been shown that properly resistance, according to our expectations, stabilizes the plate, i.e. if it increases the domain of stability enlarges. And vice versa, dissipation in flow gives opposed results. Its increase brings up the loss of stability and diminishes the domain of stability and critical velocity. This problem is closely related to a wide range of problems where the distinction between internal and external friction is made such as Ziegler's paradox, the problem of a running shaft, the problem of stability of tangential discontinuity [1, 2].
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