Abstract

In this Note we investigate the problem of the detection of a moving obstacle in a perfect fluid occupying a bounded domain in R2 from the measurement of the velocity of the fluid on one part of the boundary. We show that when the obstacle is a ball, we may identify the position and the velocity of its center of mass from a single boundary measurement. Linear stability estimates are also established by using shape differentiation techniques. To cite this article: C. Conca et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008). © 2008 Académie des sciences.