On the asymptotic formulas for perturbations in the eigenvalues of the Stokes equations due to the presence of small deformable inclusions

• Autorzy: Khelifi Abdessatar , Jaouabi Ahlem

Identyfikatory

DOI

10.1515/jaa-2021-2067

• Języki publikacji: EN

Abstrakty

EN

In this paper, we provide a rigorous derivation of an asymptotic formula for the perturbation of eigenvalues associated to the Stokes eigenvalue problem with Dirichlet conditions and in the presence of small deformable inclusions. Taking advantage of the small sizes of the inclusions immersed in an incompressible Newtonian fluid having kinematic viscosity different from the background one, we show that our asymptotic formula can be expressed in terms of the eigenvalue in the absence of the inclusions and in terms of the viscous moment tensor (VMT).

Słowa kluczowe

EN

Stokes eigenvalue problem; small deformable inclusion; asymptotic expansions; viscous moment tensor; oscillating boundary

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 1
• Strony: 149--164
• Opis fizyczny: Bibliogr. 31 poz., 1 rys.

Twórcy

autor

Khelifi Abdessatar

• Department of Mathematics, Faculty of Sciences, Carthage University, Bizerte, Tunisia

• https://orcid.org/0000-0002-2797-1646

autor

Jaouabi Ahlem

• Department of Mathematics, Faculty of Sciences, Carthage University, Bizerte, Tunisia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).