1.Mathematical Institute,Academy of Sciences,Prague 1,Czech Republic;2.Institut élie Cartan, UMR 7502,INRIA, Nancy-Université, CNRS,Vand?uvre-lès-Nancy Cedex,France;3.Team-Project CORIDA,INRIA Nancy - Grand Est,Villers-lès-Nancy,France
Abstract:
We consider the three-dimensional motion of a self-propelled deformable structure into a viscous incompressible fluid. The
deformation of the solid is given whereas its position is unknown. Such a system could model the propulsion of fish-like swimmers.
The equations of motion of the fluid are the Navier-Stokes equations and the equations for the structure are deduced from
Newton’s laws. The corresponding system is a free boundary problem and the main result of the paper is the existence of weak
solutions for this problem.