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On a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results

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dc.citedby0
dc.contributor.authorChoucha A.en_US
dc.contributor.authorBoulaaras S.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorid57216493937en_US
dc.contributor.authorid36994353700en_US
dc.contributor.authorid57205596279en_US
dc.date.accessioned2025-03-03T07:44:13Z
dc.date.available2025-03-03T07:44:13Z
dc.date.issued2024
dc.description.abstractThis 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.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo30
dc.identifier.doi10.1007/s13370-024-01170-z
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85185460465
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85185460465&doi=10.1007%2fs13370-024-01170-z&partnerID=40&md5=eca56db355bf1750ef9d71b875759d6e
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/36728
dc.identifier.volume35
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.sourceScopus
dc.sourcetitleAfrika Matematika
dc.titleOn a Lord?Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability resultsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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