Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations
In this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid’s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces. We show that global compact attractors exist under specific limitations on the adiabatic constant...
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| Format: | Article |
| Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2024-01-01
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| Series: | Theoretical and Applied Mechanics |
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| Online Access: | https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400009M.pdf |
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| author | Muhammad Jan |
| author_facet | Muhammad Jan |
| author_sort | Muhammad Jan |
| collection | DOAJ |
| description | In this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid’s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces. We show that global compact attractors exist under specific limitations on the adiabatic constant γ. |
| format | Article |
| id | doaj-art-bee0654f14b6404bb798c7f0413281b2 |
| institution | Kabale University |
| issn | 1450-5584 2406-0925 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj-art-bee0654f14b6404bb798c7f0413281b22025-01-30T06:46:39ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252024-01-0151216518810.2298/TAM240828009M1450-55842400009MGlobal compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equationsMuhammad Jan0https://orcid.org/0000-0001-8872-2523Department of Mathematics, Shanghai University, Shanghai, P. R. ChinaIn this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid’s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces. We show that global compact attractors exist under specific limitations on the adiabatic constant γ.https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400009M.pdfweak solutionscompressible mhd fluidbounded absorbing setsasymptotic compactnessshort trajectoryclosed trajectoryattractor |
| spellingShingle | Muhammad Jan Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations Theoretical and Applied Mechanics weak solutions compressible mhd fluid bounded absorbing sets asymptotic compactness short trajectory closed trajectory attractor |
| title | Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations |
| title_full | Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations |
| title_fullStr | Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations |
| title_full_unstemmed | Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations |
| title_short | Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations |
| title_sort | global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations |
| topic | weak solutions compressible mhd fluid bounded absorbing sets asymptotic compactness short trajectory closed trajectory attractor |
| url | https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400009M.pdf |
| work_keys_str_mv | AT muhammadjan globalcompactattractorsandcompleteboundedtrajectoriesforcompressiblemagnetohydrodynamicsystemofequations |