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Zbl 1088.35080
Alvarez, C.; Conca, C.; Friz, L.; Kavian, O.; Ortega, J.H.
Identification of immersed obstacles via boundary measurements. (English)
[J] Inverse Probl. 21, No. 5, 1531-1552 (2005). ISSN 0266-5611

The authors study the inverse problem of determinig an inaccessible rigid body $D$ immersed in a viscous fluid, in such a way, that $D$ plays the role of an obstacle around which the fluid is flowing in a greater bounded domain $B$. They prove, under some smoothness assumptions on $B$, that the body $D$ can be identified by the measurement of the velocity of the fluid and the Cauchy forces on some portion of the boundary of $B$.
[Sergio Vessella (Firenze)]

MSC 2000:: *35R30 Inverse problems for PDE
35Q35 Other equations arising in fluid mechanics
76D05 Navier-Stokes equations (fluid dynamics)

Keywords: unknown boundaries; uniquness; inaccessible rigid body

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