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Theses

Analysis and Control of Some Problems of Fluid-Structures Interaction

Abstract : In this thesis, we consider the well-posedness and controllability of some systems of fluid-structure interaction. More precisely, we consider the system consisted of deformable or non-deformable structure and of a viscous incompressible fluid. We suppose that the fluid satisfy the Navier-Stokes equation in 2 or 3 dimensions and the viscous Burger equation in 1-d. The equations for the structures are obtained by minimizing certain energy of the system (D?Alembert principle) or by applying the fundamental principle of dynamics (Newton?s laws). The principal results of this thesis are: the existence of solutions (strong or weak) in the deformable case and the null-controllability in the non-deformable case
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https://hal.univ-lorraine.fr/tel-01746227
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Yuning Liu. Analysis and Control of Some Problems of Fluid-Structures Interaction. General Mathematics [math.GM]. Université Henri Poincaré - Nancy 1, 2011. English. ⟨NNT : 2011NAN10062⟩. ⟨tel-01746227⟩

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