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We are interested by the three-dimensional coupling between an incompressible fluid and a rigid body. The fluid is modeled by the Navier-Stokes equations, while the solid satisfies the Newton's laws. In the main result of the paper we prove that, with the help of a distributed control, we can drive the fluid and structure velocities to zero and the solid to a reference position provided that the initial velocities are small enough and the initial position of the structure is close to the reference...
This paper is devoted to the study of a coupled system which consists of a wave equation and a heat equation coupled through a transmission condition along a steady interface. This system is a linearized model for fluid-structure interaction introduced by Rauch, Zhang and Zuazua for a simple transmission condition and by Zhang and Zuazua for a natural transmission condition. Using an abstract theorem of Burq and a new Carleman estimate proved near the interface, we complete the results obtained...
This paper is devoted to the study of a coupled system which consists of
a wave equation and a heat equation coupled through a transmission condition
along a steady interface. This system is a linearized model for
fluid-structure interaction introduced by Rauch, Zhang and Zuazua
for a simple transmission condition and by Zhang and Zuazua for a
natural transmission condition.
Using an abstract theorem of Burq and a new Carleman estimate proved near the interface, we
complete the results obtained...
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