Stable determination of a body immersed in a fluid: the nonlinear stationary case

Details Stable determination of a body immersed in a fluid: the nonlinear stationary case Stable determination of a body immersed in a fluid: the nonlinear stationary case

2011-03-13

arxiv.org/abs/1103.2516v2

Mathematics

Analysis of PDEs

24 pages

Scientific paper

We consider the inverse problem of the detection of a single body, immersed
in a bounded container filled with a fluid which obeys the stationary
Navier-Stokes equations, from a single measurement of force and velocity on a
portion of the boundary. We obtain an estimate of stability of log-log type.

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