On Flows of Bingham-Type Fluids with Threshold Slippage
We investigate a mathematical model describing 3D steady-state flows of Bingham-type fluids in a bounded domain under threshold-slip boundary conditions, which state that flows can slip over solid surfaces when the shear stresses reach a certain critical value. Using a variational inequalities appro...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/7548328 |
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| _version_ | 1832568531488604160 |
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| author | Evgenii S. Baranovskii |
| author_facet | Evgenii S. Baranovskii |
| author_sort | Evgenii S. Baranovskii |
| collection | DOAJ |
| description | We investigate a mathematical model describing 3D steady-state flows of Bingham-type fluids in a bounded domain under threshold-slip boundary conditions, which state that flows can slip over solid surfaces when the shear stresses reach a certain critical value. Using a variational inequalities approach, we suggest the weak formulation to this problem. We establish sufficient conditions for the existence of weak solutions and provide their energy estimates. Moreover, it is shown that the set of weak solutions is sequentially weakly closed in a suitable functional space. |
| format | Article |
| id | doaj-art-e0c60c7aeff64c469b1c1d57419f5186 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e0c60c7aeff64c469b1c1d57419f51862025-02-03T00:58:53ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/75483287548328On Flows of Bingham-Type Fluids with Threshold SlippageEvgenii S. Baranovskii0Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Voronezh, RussiaWe investigate a mathematical model describing 3D steady-state flows of Bingham-type fluids in a bounded domain under threshold-slip boundary conditions, which state that flows can slip over solid surfaces when the shear stresses reach a certain critical value. Using a variational inequalities approach, we suggest the weak formulation to this problem. We establish sufficient conditions for the existence of weak solutions and provide their energy estimates. Moreover, it is shown that the set of weak solutions is sequentially weakly closed in a suitable functional space.http://dx.doi.org/10.1155/2017/7548328 |
| spellingShingle | Evgenii S. Baranovskii On Flows of Bingham-Type Fluids with Threshold Slippage Advances in Mathematical Physics |
| title | On Flows of Bingham-Type Fluids with Threshold Slippage |
| title_full | On Flows of Bingham-Type Fluids with Threshold Slippage |
| title_fullStr | On Flows of Bingham-Type Fluids with Threshold Slippage |
| title_full_unstemmed | On Flows of Bingham-Type Fluids with Threshold Slippage |
| title_short | On Flows of Bingham-Type Fluids with Threshold Slippage |
| title_sort | on flows of bingham type fluids with threshold slippage |
| url | http://dx.doi.org/10.1155/2017/7548328 |
| work_keys_str_mv | AT evgeniisbaranovskii onflowsofbinghamtypefluidswiththresholdslippage |