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Control Problems for a Body Movement in the Viscous Medium

The paper deals with mathematical model of movement of a body in a viscous medium. The problem of optimum control to the viscous medium from initial position in set is considered by moving of a body. Movement occurs at Reynolds's greater numbers that generates effects of failure of the laminar boundary layer, caused by return difference of a gradient of pressure. Thus behind a body the vortical path of the Pocket is formed. Frequency of failure of whirlwinds is expressed in the form of the dimensionless parameter. Asymmetrical formation of whirlwinds leads to occurrence periodic cross-section to speed of power influences on a body. Oscillatory movements, especially as a result develop if frequency of formation of whirlwinds comes nearer to own frequency of fluctuations of a body.
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