Reconstruction of obstacles immersed in an incompressible fluid

Horst Heck; Gunther Uhlmann; Jenn-Nan Wang

doi:10.3934/ipi.2007.1.63

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2007, Volume 1, Issue 1: 63-76. Doi: 10.3934/ipi.2007.1.63

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Reconstruction of obstacles immersed in an incompressible fluid

1.
Technische Universität Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, D-64289 Darmstadt
2.
Department of Mathematics, University of Washington, Seattle, WA 98195-4350
3.
Department of Mathematics, Taida Institute of Mathematical Sciences, NCTS (Taipei), National Taiwan University, Taipei 106

Received: August 31, 2006

Published: January 2007

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Abstract

We consider the reconstruction of obstacles inside a bounded domain filled with an incompressible fluid. Our method relies on special complex geometrical optics solutions for the stationary Stokes equation with a variable viscosity.

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Mathematics Subject Classification: Primary: 35R30, 35Q30; Secondary: 76D07.

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