A study of various free boundary value problems in fluid mechanics : The asymptotic behavior of weak solution
| dc.contributor.author | ABDELALI , Malek | |
| dc.contributor.author | SAADALLAH , Abdelkader Supervisor | |
| dc.contributor.author | YAZID , Fares Co- supervisor | |
| dc.date.accessioned | 2026-06-17T11:05:14Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | This thesis investigates the asymptotic behavior of non-isothermal flows of viscoplastic flu-ids (Bingham and Herschel-Bulkley) in thin domains with Tresca-type friction conditions.An effective limit model is derived, combining a Reynolds-type variational inequality with a simplified heat equation. The analysis rigorously proves the existence, uniqueness, and convergence of solutions. These results establish a robust mathematical framework for simulating confined flows, with significant applications in lubrication engineering and pro-cess design. | |
| dc.description.sponsorship | Cette th`ese ´etudie le comportement asymptotique des ´ecoulements non isothermes de fluides viscoplastiques (Bingham et Herschel-Bulkley) dans des domaines minces avec conditions de frottement de Tresca. Un mod`ele limite effectif est d´eriv´e, combinant une in´egalit´e variationnelle de type Reynolds et une ´equation de chaleur simplifi´ee. L’analyse d´emontre l’existence, l’unicit´e et la convergence des solutions. Ces r´esultats offrent un cadre math´ematique rigoureux pour la simulation d’´ecoulements confin´es, avec applica-tions en ing´enierie et g´enie des proc´ed´es. | |
| dc.identifier.uri | https://repository.univ-setif.dz/handle/123456789/1021 | |
| dc.language.iso | en | |
| dc.publisher | Setif 1 University - Ferhat ABBAS , Faculty of Sciences | |
| dc.subject | Asymptotic approach | |
| dc.subject | Bingham fluid | |
| dc.subject | Herschel-Bulkley fluid | |
| dc.subject | Temperature | |
| dc.subject | Reynolds equation. | |
| dc.title | A study of various free boundary value problems in fluid mechanics : The asymptotic behavior of weak solution | |
| dc.type | Thesis |
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