On the identifiability of a rigid body moving in a stationary viscous fluid
Author
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Conca Rosende, Carlos
Author
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Schwindt, Erica L.
es_CL
Author
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Takahashi, Takéo
es_CL
Admission date
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2013-12-30T15:07:33Z
Available date
dc.date.available
2013-12-30T15:07:33Z
Publication date
dc.date.issued
2012
Cita de ítem
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Inverse Problems 28 (2012) 015005 (22pp)
en_US
Identifier
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DOI:10.1088/0266-5611/28/1/015005
Identifier
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https://repositorio.uchile.cl/handle/2250/125907
Abstract
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This paper is devoted to a geometrical inverse problem associated with a fluid–
structure system. More precisely, we consider the interaction between amoving
rigid body and a viscous and incompressible fluid. Assuming a low Reynolds
regime, the inertial forces can be neglected and, therefore, the fluid motion
is modelled by the Stokes system. We first prove the well posedness of the
corresponding system. Then we showan identifiability result: with one measure
of the Cauchy forces of the fluid on one given part of the boundary and at some
positive time, the shape of a convex body and its initial position are identified.