On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results
This work investigates the well-posedness and stability outcomes of the one-dimensional Cauchy problem within a system involving swelling-porous elastic soils and thermal effects. The heat conduction in this system is described by the Lord?Shulman theory. By the energy method, we establish the exist...
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Springer Science and Business Media Deutschland GmbH
2025
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| author | Choucha A. Boulaaras S. Jan R. |
| author2 | 57216493937 |
| author_facet | 57216493937 Choucha A. Boulaaras S. Jan R. |
| author_sort | Choucha A. |
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| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | This work investigates the well-posedness and stability outcomes of the one-dimensional Cauchy problem within a system involving swelling-porous elastic soils and thermal effects. The heat conduction in this system is described by the Lord?Shulman theory. By the energy method, we establish the existence of solutions and then prove an exponential stability result under suitable hypotheses. Our results were achieved without the need for the condition of equal velocities, and it is also considered a good improvement to our work in the paper (Choucha et al. in Mathematics 11(23):4785, 2023), completely dispensing with any damping term. ? African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2024. |
| format | Article |
| id | my.uniten.dspace-36728 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Springer Science and Business Media Deutschland GmbH |
| record_format | dspace |
| spelling | my.uniten.dspace-367282025-03-03T15:44:13Z On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results Choucha A. Boulaaras S. Jan R. 57216493937 36994353700 57205596279 This work investigates the well-posedness and stability outcomes of the one-dimensional Cauchy problem within a system involving swelling-porous elastic soils and thermal effects. The heat conduction in this system is described by the Lord?Shulman theory. By the energy method, we establish the existence of solutions and then prove an exponential stability result under suitable hypotheses. Our results were achieved without the need for the condition of equal velocities, and it is also considered a good improvement to our work in the paper (Choucha et al. in Mathematics 11(23):4785, 2023), completely dispensing with any damping term. ? African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2024. Final 2025-03-03T07:44:13Z 2025-03-03T07:44:13Z 2024 Article 10.1007/s13370-024-01170-z 2-s2.0-85185460465 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185460465&doi=10.1007%2fs13370-024-01170-z&partnerID=40&md5=eca56db355bf1750ef9d71b875759d6e https://irepository.uniten.edu.my/handle/123456789/36728 35 1 30 Springer Science and Business Media Deutschland GmbH Scopus |
| spellingShingle | Choucha A. Boulaaras S. Jan R. On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results |
| title | On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results |
| title_full | On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results |
| title_fullStr | On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results |
| title_full_unstemmed | On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results |
| title_short | On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results |
| title_sort | on a lord?shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results |
| url_provider | http://dspace.uniten.edu.my/ |