On the detection of a moving obstacle in an ideal fluid by a boundary measurement

Conca, C; Cumsille, P; ortega, j; Rosier L

Abstract

In this paper, we investigate the problem of the detection of a moving obstacle in a perfect fluid occupying a bounded domain in ℝ 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 centre of mass from a single boundary measurement. Linear stability estimates are also established by using shape differentiation techniques. © 2008 IOP Publishing Ltd.

Más información

Título según WOS: On the detection of a moving obstacle in an ideal fluid by a boundary measurement
Título según SCOPUS: On the detection of a moving obstacle in an ideal fluid by a boundary measurement
Título de la Revista: INVERSE PROBLEMS
Volumen: 24
Número: 4
Editorial: IOP PUBLISHING LTD
Fecha de publicación: 2008
Idioma: English
URL: http://stacks.iop.org/0266-5611/24/i=4/a=045001?key=crossref.981cfbddb61a74f148d95b003f9b8e36
DOI:

10.1088/0266-5611/24/4/045001

Notas: ISI, SCOPUS