Existence for an Unsteady Fluid-Structure Interaction Problem
Céline Grandmont, Yvon Maday (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We study the well-posedness of an unsteady fluid-structure interaction problem. We consider a viscous incompressible flow, which is modelled by the Navier-Stokes equations. The structure is a collection of rigid moving bodies. The fluid domain depends on time and is defined by the position of the structure, itself resulting from a stress distribution coming from the fluid. The problem is then nonlinear and the equations we deal with are coupled. We prove its local solvability in time...