Qualitative Study of some Classes of Evolution Problems
| dc.contributor.author | KAREK, Widad | |
| dc.contributor.author | Bouzettouta, Lamine | |
| dc.date.accessioned | 2025-10-14T12:56:13Z | |
| dc.date.available | 2025-10-14T12:56:13Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this thesis, we present our results about the existence and exponential decay of certain classes of evolution problems. The first problem focuses on a one-dimensional Lord-Schulman thermoelastic system coupled with porous damping and time delay. The heat conduction in this type of systems is described by the Lord–Shulman theory. The second problem focuses on the swelling porous system with the Gurtin-Pipkin thermal effect as the only source of damping with delay. In general, the study shows that the dissipation obtained from the Guertin-Pipkin heat law is sufficient to stabilize the system exponentially, regardless of the system parameters. The third problem focuses on a one-dimensional swelling porous-heat system with time-varying delay in a bounded domain under Dirichlet boundary conditions, with thermodiffusion effects and frictional damping. Overall, using the semi-group approach, the variable norm technique of T. Kato, and the appropriate assumptions on the weight of delay, we establish the wellposedness of the considered systems. Then, we show that our systems are exponentially stable by employing an appropriate Lyapunov functional. We point out that our results are achieved without taking into account that we have the equal of speeds | |
| dc.identifier.uri | http://dspace.univ-skikda.dz:4000/handle/123456789/5164 | |
| dc.language.iso | en | |
| dc.publisher | 20 August 1955 university of Skikda | |
| dc.subject | Swelling porous systems | |
| dc.title | Qualitative Study of some Classes of Evolution Problems | |
| dc.type | Thesis |