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http://archives.univ-biskra.dz/handle/123456789/29334| Title: | Asymptotic Behavior of Solutions of Some Viscoelastic Problems |
| Authors: | Hamdi_Soumia |
| Keywords: | PDEs; dynamicboundarycondition Euler-Bernoullibeam;existenceand uniqueness ofsolutions; Galerkinapproximationmethod;arbitrarydecay; viscoelasticity; relaxation function. |
| Issue Date: | 2024 |
| Publisher: | Université Mohamed Khider-Biskra |
| Abstract: | The mainpurposeofthisthesisistoinvestigatetheexistenceanduniquenessofsolu- tions, aswellastheasymptoticbehaviorofsomeviscoelasticproblemsinone-dimensional space, precisely,thisworkaddressestheproblemofundesirablevibrationsandthecon- trol fattitudestabilizationofa exiblesatelliteduringthemaneuvers.Inviewofthis, viscoelasticmaterialsaresuggestedtoattenuateorsuppresstheunwantedvibrationsof a exiblesatellite.The exiblesatellitesystemconsistsofacentralrigidhubandtwo large symmetric exibleappendages.Mathematically,theproblemcanbemodeledby a setofpartialdi erentialequations(PDEs)takingintoaccountthedynamicboundary condition. OurresearchutilizesLyapunov'sdirectmethodtostudysomeviscoelasticsys- tems. Theresultsobtainedinthisthesisaimtoenhancemuchofthepreviousscienti c research. |
| Description: | Partial differential equations |
| URI: | http://archives.univ-biskra.dz/handle/123456789/29334 |
| Appears in Collections: | Mathématiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Hamdi_Soumia.pdf | 1,61 MB | Adobe PDF | View/Open |
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