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Displaying similar documents to “Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid”

Wellposedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid

Patricio Cumsille, Takéo Takahashi (2008)

Czechoslovak Mathematical Journal

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In this paper, we consider the interaction between a rigid body and an incompressible, homogeneous, viscous fluid. This fluid-solid system is assumed to fill the whole space ℝ d , d = 2 or 3 . The equations for the fluid are the classical Navier-Stokes equations whereas the motion of the rigid body is governed by the standard conservation laws of linear and angular momentum. The time variation of the fluid domain (due to the motion of the rigid body) is not known , so we deal with a free boundary...