Geodesic
Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid
Muriel Boulakia1 ; Erica L. Schwindt2 ; Takéo Takahashi3
1Université Pierre et Marie Curie, Paris, France
2Universidad de Chile, Santiago, Chile
3Université Henri Poincaré, Vandoeuvre-Les-Nancy, France
Interfaces and free boundaries, Tome 14 (2012) no. 3, pp. 273-306

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In this paper we study a three-dimensional fluid–structure interaction problem. The motion of the fluid is modeled by the Navier–Stokes equations and we consider for the elastic structure a finite dimensional approximation of the equation of linear elasticity. The time variation of the fluid domain is not known a priori, so we deal with a free boundary value problem. Our main result yields the local in time existence and uniqueness of strong solutions for this system.
DOI : 10.4171/ifb/282
Classification : 74-XX, 35-XX, 37-XX, 76-XX
Mots-clés : Fluid-structure interaction, existence and uniqueness of strong solutions, incompressible Navier–Stokes equations, deformable structure

Muriel Boulakia  1   ; Erica L. Schwindt  2   ; Takéo Takahashi  3

1 Université Pierre et Marie Curie, Paris, France
2 Universidad de Chile, Santiago, Chile
3 Université Henri Poincaré, Vandoeuvre-Les-Nancy, France 
Muriel Boulakia; Erica L. Schwindt; Takéo Takahashi. Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid. Interfaces and free boundaries, Tome 14 (2012) no. 3, pp. 273-306. doi: 10.4171/ifb/282
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     author = {Muriel Boulakia and Erica L. Schwindt and Tak\'eo Takahashi},
     title = {Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid},
     journal = {Interfaces and free boundaries},
     pages = {273--306},
     year = {2012},
     volume = {14},
     number = {3},
     doi = {10.4171/ifb/282},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/282/}
}
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