Existence result of the global attractor for a triply nonlinear thermistor problem
We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2023-01-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/mjpaa-2023-0002 |
| _version_ | 1811159361576239104 |
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| author | Ammi Moulay Rchid Sidi Dahi Ibrahim Hachimi Abderrahmane El Torres Delfim F. M. |
| author_facet | Ammi Moulay Rchid Sidi Dahi Ibrahim Hachimi Abderrahmane El Torres Delfim F. M. |
| author_sort | Ammi Moulay Rchid Sidi |
| collection | DOAJ |
| description | We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor. |
| first_indexed | 2024-04-10T05:39:46Z |
| format | Article |
| id | doaj.art-4cb5e4f90c214f80b63bb8cd27014bca |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-04-10T05:39:46Z |
| publishDate | 2023-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-4cb5e4f90c214f80b63bb8cd27014bca2023-03-06T10:30:08ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272023-01-0191274710.2478/mjpaa-2023-0002Existence result of the global attractor for a triply nonlinear thermistor problemAmmi Moulay Rchid Sidi0Dahi Ibrahim1Hachimi Abderrahmane El2Torres Delfim F. M.3Department of Mathematics, AMNEA Group, MAIS Laboratory, Faculty of Sciences and Technics, Moulay Ismail B. P. 509, Errachidia, Morocco.Department of Mathematics, AMNEA Group, MAIS Laboratory, Faculty of Sciences and Technics, Moulay Ismail B. P. 509, Errachidia, Morocco.Department of Mathematics, Faculty of Sciences, Mohammed V University of Rabat, Morocco.R&D Unit CIDMA, Department of Mathematics, University of Aveiro, 3810-193Aveiro, Portugal.We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor.https://doi.org/10.2478/mjpaa-2023-0002existenceuniquenessthermistor problemsobolev spacesglobal attractorω−limitinvariant setabsobsing setsemi-group35a0135a0246e35 |
| spellingShingle | Ammi Moulay Rchid Sidi Dahi Ibrahim Hachimi Abderrahmane El Torres Delfim F. M. Existence result of the global attractor for a triply nonlinear thermistor problem Moroccan Journal of Pure and Applied Analysis existence uniqueness thermistor problem sobolev spaces global attractor ω−limit invariant set absobsing set semi-group 35a01 35a02 46e35 |
| title | Existence result of the global attractor for a triply nonlinear thermistor problem |
| title_full | Existence result of the global attractor for a triply nonlinear thermistor problem |
| title_fullStr | Existence result of the global attractor for a triply nonlinear thermistor problem |
| title_full_unstemmed | Existence result of the global attractor for a triply nonlinear thermistor problem |
| title_short | Existence result of the global attractor for a triply nonlinear thermistor problem |
| title_sort | existence result of the global attractor for a triply nonlinear thermistor problem |
| topic | existence uniqueness thermistor problem sobolev spaces global attractor ω−limit invariant set absobsing set semi-group 35a01 35a02 46e35 |
| url | https://doi.org/10.2478/mjpaa-2023-0002 |
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