Problems concerning the optimal control over the advance of an object in a still water are considered in the framework of the nonstationary Euler hydrodynamical equation. It is assumed that the trail of the flow contains two point vortices of given intensity. The control parameter is the velocity of the advance, as a function of time. These optimization problems for a system of nonlinear partial differential equations having a free boundary (in the form of vortex centers that are no given a priory) are reduced to classical optimal control problems for a system of ordinary differential equations. Â© 2010 Pleiades Publishing, Ltd.
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