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

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

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.

Más información

Título según WOS: Detecting a moving obstacle in an ideal fluid by a boundary measurement
Título según SCOPUS: Detecting a moving obstacle in an ideal fluid by a boundary measurement
Título de la Revista: COMPTES RENDUS MATHEMATIQUE
Volumen: 346
Número: 15-16
Editorial: ACAD SCIENCES
Fecha de publicación: 2008
Página de inicio: 839
Página final: 844
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S1631073X08001830
DOI:

10.1016/j.crma.2008.06.007

Notas: ISI, SCOPUS