On the detection of a moving obstacle in an ideal fluid by a boundary measurement
Author
dc.contributor.author
Conca Rosende, Carlos
Author
dc.contributor.author
Cumsille, Patricio
es_CL
Author
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Ortega Palma, Jaime
es_CL
Author
dc.contributor.author
Rosier, Lionel
es_CL
Admission date
dc.date.accessioned
2013-12-30T14:11:43Z
Available date
dc.date.available
2013-12-30T14:11:43Z
Publication date
dc.date.issued
2008
Cita de ítem
dc.identifier.citation
Inverse Problems 24 (2008) 045001 (18pp)
en_US
Identifier
dc.identifier.other
DOI:10.1088/0266-5611/24/4/045001
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/125898
Abstract
dc.description.abstract
In this paper, 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 centre of
mass from a single boundary measurement. Linear stability estimates are also
established by using shape differentiation techniques.