Asymptotic formulas for the identification of small inhomogeneities in a fluid medium
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 f...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2015-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/186/abstr.html |
| _version_ | 1819168324756439040 |
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| author | Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine |
| author_facet | Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine |
| author_sort | Mohamed Abdelwahed |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-22T19:01:48Z |
| format | Article |
| id | doaj.art-64e6851b8caf4a4893c335d014774826 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T19:01:48Z |
| publishDate | 2015-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-64e6851b8caf4a4893c335d0147748262022-12-21T18:15:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-07-012015186,113Asymptotic formulas for the identification of small inhomogeneities in a fluid mediumMohamed Abdelwahed0Nejmeddine Chorfi1Maatoug Hassine2 King Saud Univ., Riyadh, Saudi Arabia King Saud Univ., Riyadh, Saudi Arabia Faculte des Sciences de Monastir, Tunisia 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.http://ejde.math.txstate.edu/Volumes/2015/186/abstr.htmlStokes systeminhomogeneitiesviscous incompressible fluid flowreciprocity gap functionalasymptotic formulasensitivity analysis |
| spellingShingle | Mohamed Abdelwahed Nejmeddine Chorfi Maatoug Hassine Asymptotic formulas for the identification of small inhomogeneities in a fluid medium Electronic Journal of Differential Equations Stokes system inhomogeneities viscous incompressible fluid flow reciprocity gap functional asymptotic formula sensitivity analysis |
| title | Asymptotic formulas for the identification of small inhomogeneities in a fluid medium |
| title_full | Asymptotic formulas for the identification of small inhomogeneities in a fluid medium |
| title_fullStr | Asymptotic formulas for the identification of small inhomogeneities in a fluid medium |
| title_full_unstemmed | Asymptotic formulas for the identification of small inhomogeneities in a fluid medium |
| title_short | Asymptotic formulas for the identification of small inhomogeneities in a fluid medium |
| title_sort | asymptotic formulas for the identification of small inhomogeneities in a fluid medium |
| topic | Stokes system inhomogeneities viscous incompressible fluid flow reciprocity gap functional asymptotic formula sensitivity analysis |
| url | http://ejde.math.txstate.edu/Volumes/2015/186/abstr.html |
| work_keys_str_mv | AT mohamedabdelwahed asymptoticformulasfortheidentificationofsmallinhomogeneitiesinafluidmedium AT nejmeddinechorfi asymptoticformulasfortheidentificationofsmallinhomogeneitiesinafluidmedium AT maatoughassine asymptoticformulasfortheidentificationofsmallinhomogeneitiesinafluidmedium |