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February  2007, 1(1): 63-76. doi: 10.3934/ipi.2007.1.63

Reconstruction of obstacles immersed in an incompressible fluid

Horst Heck 1, , Gunther Uhlmann 2, and  Jenn-Nan Wang 3,

1. 

Technische Universität Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, D-64289 Darmstadt, Germany
2. 

Department of Mathematics, University of Washington, Seattle, WA 98195-4350, United States
3. 

Department of Mathematics, Taida Institute of Mathematical Sciences, NCTS (Taipei), National Taiwan University, Taipei 106, Taiwan

Received  September 2006 Published  January 2007

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.
Keywords: inverse problem., complex spherical waves, Stokes system.
Mathematics Subject Classification: Primary: 35R30, 35Q30; Secondary: 76D0.
Citation: Horst Heck, Gunther Uhlmann, Jenn-Nan Wang. Reconstruction of obstacles immersed in an incompressible fluid. Inverse Problems and Imaging, 2007, 1 (1) : 63-76. doi: 10.3934/ipi.2007.1.63
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