Gevrey regularity for a system coupling the Navier-Stokes system with a beam : the non-flat case - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue Funkcialaj ekvacioj.Serio internacia Année : 2022

Gevrey regularity for a system coupling the Navier-Stokes system with a beam : the non-flat case

Résumé

We consider a bi-dimensional viscous incompressible fluid in interaction with a beam located at its boundary. We show the existence of strong solutions for this fluid-structure interaction system, extending a previous result [3] where we supposed that the initial deformation of the beam was small. The main point of the proof consists in the study of the linearized system and in particular in proving that the corresponding semigroup is of Gevrey class.
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Dates et versions

hal-02303258 , version 1 (02-10-2019)

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Citer

Mehdi Badra, Takéo Takahashi. Gevrey regularity for a system coupling the Navier-Stokes system with a beam : the non-flat case. Funkcialaj ekvacioj.Serio internacia, 2022, ⟨10.1619/fesi.65.63⟩. ⟨hal-02303258⟩
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