A history-dependent hemivariational inequality for a non-stationary Navier-Stokes with long-memory
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Abderrahmane Oultou [1] ; Hicham Benaissa [1]
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[1] Department of Mathematics, Polydisciplinary Faculty of Khouribga, Sultan Moulay Slimane University
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- Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 83, Nº. 3, 2026, págs. 493-513
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
This paper investigates a specific class of history-dependent hemivariational inequalities associated arising in the context of time-dependent Navier-Stokes equations. By employing the semi-discrete method and leveraging the surjectivity theorem for multivalued operators, we establish the uniqueness of the solution to this problem. Additionally, these results are applied to analyze the unique solvability of a nonstationary Navier-Stokes equation with long memory, encountered for instance, in modeling the fluid flow of blood within a vein.
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