| Contents |
| The talk addresses the problem of minimizing turbulence inside fluid flow in the case of free
boundary interaction between a viscous fluid (modeled by the Navier-Stokes equations) and a moving and deforming elastic body (modeled by the nonlinear equations of elastodynamics). Reducing and controlling turbulence flow is particularly relevant in the design of small-scale unmanned aircrafts, and is also of great interest in the medical community. The issue of minimizing vorticity in the flow is addressed from the point of view of optimal control. Due to the moving domains and the nonlinearity of the state equations, the optimality conditions must be derived from differentiability arguments that involve strategies from sensitivity and shape differentiability analysis. |
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