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Optimal control in a free boundary fluid-elasticity interaction

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  • We establish existence of an optimal control for the problem of minimizing flow turbulence in the case of a nonlinear fluid-structure interaction model in the framework of the known local well-posedness theory. If the initial configuration is regular, in an appropriate sense, then a class of sufficiently smooth control inputs contains an element that minimizes, within the control class, the vorticity of the fluid flow around a moving and deforming elastic solid.
    Mathematics Subject Classification: Primary: 49J20, 74F10; Secondary: 74B20, 76D05, 35R37.

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