An Initial and Boundary Value Problem Modeling

An Initial and Boundary Value Problem Modeling Fish-like Swimming Jorge San Martín, Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170/3-Correo 3, Santiago, Chile. (). Jean-François Scheid, Takéo Takahashi, Marius Tucsnak Institut Élie Cartan, Faculté des Sciences, BP239, 54506 Vand÷uvre-lès-Nancy, Cedex, France. (, , ). and INRIA Lorraine, Projet CORIDA. Abstract In this paper we consider an initial and boundary value problem modeling the self-propelled motion of solids in a bi-dimensional viscous incompressible fluid. The self-propelling mechanism, consisting in appropriate deformations of the solids, is a simplified model for the propulsion mechanism of fish-like swimmers. The governing equations are composed of the Navier-Stokes equations for the fluid, coupled to New- ton's laws for the solids. Since we consider the case in which the fluid-solid systems fills a bounded domain we have to tackle a free boundary value problem. The main theoretical result in the paper asserts the global existence and uniqueness (up to pos- sible contacts) of strong solutions of this problem.

• method still works


• precisely below


• propelled motions


• incompressible fluid


• propulsion mechanism


• fluid


• fish-like swimming


• dimensional viscous incompressible