Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition
In this work, we look at homogenization results for nonlinear hyperbolic problem with a non-local boundary condition. We use the periodic unfolding method to obtain a homogenized nonlinear hyperbolic equation in a fixed domain. Due to the investigation's peculiarity, the unfolding technique mus...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023609?viewType=HTML |
| _version_ | 1797850996383154176 |
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| author | Mogtaba Mohammed |
| author_facet | Mogtaba Mohammed |
| author_sort | Mogtaba Mohammed |
| collection | DOAJ |
| description | In this work, we look at homogenization results for nonlinear hyperbolic problem with a non-local boundary condition. We use the periodic unfolding method to obtain a homogenized nonlinear hyperbolic equation in a fixed domain. Due to the investigation's peculiarity, the unfolding technique must be developed with special attention, creating an unusual two-scale model. We note that the non-local boundary condition caused a damping on the homogenized model. |
| first_indexed | 2024-04-09T19:10:34Z |
| format | Article |
| id | doaj.art-c4bc0e5a50fb431384e6fb1c30a9e26c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T19:10:34Z |
| publishDate | 2023-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c4bc0e5a50fb431384e6fb1c30a9e26c2023-04-07T01:16:02ZengAIMS PressAIMS Mathematics2473-69882023-03-0185120931210810.3934/math.2023609Homogenization of nonlinear hyperbolic problem with a dynamical boundary conditionMogtaba Mohammed01. Department of Mathematics, College of Science Al-Zulfi Majmaah University, Al-Majmaah 11952, Saudi Arabia 2. Mathematics Department, Sudan University of Science and Technology Khartoum, SudanIn this work, we look at homogenization results for nonlinear hyperbolic problem with a non-local boundary condition. We use the periodic unfolding method to obtain a homogenized nonlinear hyperbolic equation in a fixed domain. Due to the investigation's peculiarity, the unfolding technique must be developed with special attention, creating an unusual two-scale model. We note that the non-local boundary condition caused a damping on the homogenized model.https://www.aimspress.com/article/doi/10.3934/math.2023609?viewType=HTMLnon-local interface conditionnonlinear hyperbolic pdeshomogenizationthe periodic unfolding method |
| spellingShingle | Mogtaba Mohammed Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition AIMS Mathematics non-local interface condition nonlinear hyperbolic pdes homogenization the periodic unfolding method |
| title | Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition |
| title_full | Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition |
| title_fullStr | Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition |
| title_full_unstemmed | Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition |
| title_short | Homogenization of nonlinear hyperbolic problem with a dynamical boundary condition |
| title_sort | homogenization of nonlinear hyperbolic problem with a dynamical boundary condition |
| topic | non-local interface condition nonlinear hyperbolic pdes homogenization the periodic unfolding method |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023609?viewType=HTML |
| work_keys_str_mv | AT mogtabamohammed homogenizationofnonlinearhyperbolicproblemwithadynamicalboundarycondition |