Local null controllability of a fluid–rigid body interaction problem with Navier slip boundary conditions

The aim of this work is to show the local null controllability a fluid–solid interaction system by using distributed control located in fluid. fluid modeled incompressible Navier–Stokes with Navier slip boundary conditions and rigid body governed Newton laws. Our main result yields that we can drive velocities structure 0 exactly position body. One important ingredient consists new Carleman estimate for linear fluid–rigid conditions. This done without imposing any geometrical on