# Identification of immersed obstacles via boundary measurements

@article{Alvarez2005IdentificationOI, title={Identification of immersed obstacles via boundary measurements}, author={Catalina Alvarez and Carlos Conca and Luis Friz and Otared Kavian and Jaime H. Ortega}, journal={Inverse Problems}, year={2005}, volume={21}, pages={1531 - 1552} }

We study the following inverse problem: an inaccessible rigid body D is 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 Ω, and we wish to determine D (i.e., its form and location) via boundary measurement on the boundary ∂Ω. Both for the stationary and the evolution problem, we show that under reasonable smoothness assumptions on Ω and D, one can identify D via the measurement of the velocity of the…

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