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Journal Articles Comptes Rendus. Mathématique Year : 2008

Detecting a moving obstacle in an ideal fluid by a boundary measurement

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.

Dates and versions

hal-00600924 , version 1 (16-06-2011)

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Carlos Conca, Patricio Cumsille, Jaime Ortega, Lionel Rosier. Detecting a moving obstacle in an ideal fluid by a boundary measurement. Comptes Rendus. Mathématique, 2008, 346 (15-16), pp.839-844. ⟨10.1016/j.crma.2008.06.007⟩. ⟨hal-00600924⟩
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