Stable determination of an immersed body in a stationary Stokes fluid

Abstract

We consider the inverse problem of the detection of a single body, immersed in a bounded container filled with a fluid which obeys the 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.

30 pages

References in corpus (1)

• The stability for the Cauchy problem for elliptic equations

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