On the identification of a single body immersed in a Navier-Stokes fluid
- 1 February 2007
- journal article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 18 (1) , 57-80
Abstract
In this work we consider the inverse problem of the identification of a single rigid body immersed in a fluid governed by the stationary Navier-Stokes equations. It is assumed that friction forces are known on a part of the outer boundary. We first prove a uniqueness result. Then, we establish a formula for the observed friction forces, at first order, in terms of the deformation of the rigid body. In some particular situations, this provides a strategy that could be used to compute approximations to the solution of the inverse problem. In the proofs we use unique continuation and regularity results for the Navier-Stokes equations and domain variation techniques.Keywords
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