Source term model for elasticity system with nonlinear dissipative term in a thin domain
This article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works. We consider the limit when the thickness tends to zero, and we prove that the limit solution u∗{u}^{\ast }...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-08-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0033 |
| _version_ | 1797998385851006976 |
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| author | Dilmi Mohamed Dilmi Mourad Boulaaras Salah Benseridi Hamid |
| author_facet | Dilmi Mohamed Dilmi Mourad Boulaaras Salah Benseridi Hamid |
| author_sort | Dilmi Mohamed |
| collection | DOAJ |
| description | This article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works. We consider the limit when the thickness tends to zero, and we prove that the limit solution u∗{u}^{\ast } is a solution of a two-dimensional boundary value problem with lower Tresca’s free-boundary conditions. Moreover, we obtain the weak Reynolds-type equation. |
| first_indexed | 2024-04-11T10:47:57Z |
| format | Article |
| id | doaj.art-b1350102b8d249989c32763589402111 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-11T10:47:57Z |
| publishDate | 2022-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-b1350102b8d249989c327635894021112022-12-22T04:28:59ZengDe GruyterDemonstratio Mathematica2391-46612022-08-0155143745110.1515/dema-2022-0033Source term model for elasticity system with nonlinear dissipative term in a thin domainDilmi Mohamed0Dilmi Mourad1Boulaaras Salah2Benseridi Hamid3Department of Mathematics, Faculty of Science, University of Saad Dahlab-Blida 1, Blida, AlgeriaDepartment of Mathematics, Applied Mathematics Laboratory, Faculty of Sciences, University of Ferhat ABBAS- Sétif 1, Sétif, 19000, AlgeriaDepartment of Mathematics, College Of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaDepartment of Mathematics, Applied Mathematics Laboratory, Faculty of Sciences, University of Ferhat ABBAS- Sétif 1, Sétif, 19000, AlgeriaThis article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works. We consider the limit when the thickness tends to zero, and we prove that the limit solution u∗{u}^{\ast } is a solution of a two-dimensional boundary value problem with lower Tresca’s free-boundary conditions. Moreover, we obtain the weak Reynolds-type equation.https://doi.org/10.1515/dema-2022-0033asymptotic behaviordissipative termsource termtresca friction lawweak solution35r3576f1078m3535b4035j8549j40 |
| spellingShingle | Dilmi Mohamed Dilmi Mourad Boulaaras Salah Benseridi Hamid Source term model for elasticity system with nonlinear dissipative term in a thin domain Demonstratio Mathematica asymptotic behavior dissipative term source term tresca friction law weak solution 35r35 76f10 78m35 35b40 35j85 49j40 |
| title | Source term model for elasticity system with nonlinear dissipative term in a thin domain |
| title_full | Source term model for elasticity system with nonlinear dissipative term in a thin domain |
| title_fullStr | Source term model for elasticity system with nonlinear dissipative term in a thin domain |
| title_full_unstemmed | Source term model for elasticity system with nonlinear dissipative term in a thin domain |
| title_short | Source term model for elasticity system with nonlinear dissipative term in a thin domain |
| title_sort | source term model for elasticity system with nonlinear dissipative term in a thin domain |
| topic | asymptotic behavior dissipative term source term tresca friction law weak solution 35r35 76f10 78m35 35b40 35j85 49j40 |
| url | https://doi.org/10.1515/dema-2022-0033 |
| work_keys_str_mv | AT dilmimohamed sourcetermmodelforelasticitysystemwithnonlineardissipativeterminathindomain AT dilmimourad sourcetermmodelforelasticitysystemwithnonlineardissipativeterminathindomain AT boulaarassalah sourcetermmodelforelasticitysystemwithnonlineardissipativeterminathindomain AT benseridihamid sourcetermmodelforelasticitysystemwithnonlineardissipativeterminathindomain |