Identification results for inverse source problems in unsteady Stokes flows

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Abstract

We establish identification results in an inverse source problem for the two-dimensional Brinkman equations. This identification problem is cast in the context of a nondestructive evaluation problem that consists in retrieving a pair of forces, namely a body force and a divergence force, from the corresponding Cauchy data. Results are established for data obtained from a single measurement and from several measurements. Extension to three-dimensional problems is also discussed.
Original languageEnglish
Article number015004
Number of pages17
JournalInverse Problems
Volume31
Issue number1
DOIs
Publication statusPublished - 1 Jan 2015

Keywords

  • Brinkman flows
  • Inverse source problems
  • Unsteady stokes equations

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