An Incompressible Fluid in a Weakly Deformable Shell. Part I: Analysis of the Model |
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| Authors: | Christine Bernardi Adel Blouza Frédéric Hecht |
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| Affiliation: | 1.Laboratoire Jacques-Louis Lions,C.N.R.S. & Université Pierre et Marie Curie,Paris Cedex 05,France;2.Laboratoire de Mathématiques Rapha?l Salem (U.M.R. 6085 C.N.R.S.),Université de Rouen,Saint-étienne-du-Rouvray,France |
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| Abstract: | We consider the flow of a viscous incompressible fluid in a pipe when the boundary is a deformable shell of Naghdi type. We prove that the corresponding system of partial differential equations has a solution when the deformation of the shell is smooth and small enough. We propose an algorithm that uncouples the unknowns and prove its convergence. |
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