Reconstruction of obstacles immersed in an incompressible fluid

DOI10.3934/ipi.2007.1.63zbMath1129.35078OpenAlexW2008426038MaRDI QIDQ995439

Horst Heck, Gunther Uhlmann, Jenn-Nan Wang

Publication date: 3 September 2007

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2007.1.63

zbMATH Keywords

inverse obstacle problemcomplex spherical wavesstationary Stokes equation with variable viscosity

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (13)

DETECTING AN OBSTACLE IMMERSED IN A FLUID BY SHAPE OPTIMIZATION METHODS ⋮ Stability of inverse problems in an infinite slab with partial data ⋮ The Sampling Method for Inverse Exterior Stokes Problems ⋮ Size estimates of an obstacle in a stationary Stokes fluid ⋮ Detecting a moving obstacle in an ideal fluid by a boundary measurement ⋮ On the reconstruction of obstacles and of rigid bodies immersed in a viscous incompressible fluid ⋮ Reconstruction of a penetrable obstacle by complex spherical waves ⋮ Carleman estimates and inverse problems for Dirac operators ⋮ A non-iterative reconstruction method for an inverse problem modeled by a Stokes-Brinkmann equations ⋮ Reconstruction of inclusions in an elastic body ⋮ An iterative method for shape optimal design of Stokes-Brinkman equations with heat transfer model ⋮ Shape optimization for an obstacle located in incompressible Boussinesq flow ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term

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