Mohamed Abdelwahed, Nejmeddine Chorfi, Maatoug Hassine
Abstract:
We consider a viscous incompressible fluid flow governed by the Stokes system.
We assume that a finite number of small inhomogeneities (particles) are
immersed in the fluid. The reciprocity gap functional is introduced to describe
the boundary data. An asymptotic formula for the reciprocity gap functional is
derived. The obtained formulas can form the basis for very effective computational
identification algorithms, aimed at determining information about inhomogeneities
from boundary measurements.
Submitted June 1, 2015. Published July 10, 2015.
Math Subject Classifications: 35R30, 35J25, 49Q12, 65R99.
Key Words: Stokes system; inhomogeneities; viscous incompressible fluid flow;
reciprocity gap functional; asymptotic formula;
sensitivity analysis.
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Mohamed Abdelwahed Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: mabdelwahed@ksu.edu.sa |
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Nejmeddine Chorfi Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: nejmeddine.chorfi@yahoo.com |
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Maatoug Hassine Département de Mathématiques Faculté des Sciences de Monastir Monastir, Tunisia email: maatoug_hassine@yahoo.fr |
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