Asymptotic analysis for coupled parabolic problem with Dirichlet-Fourier boundary conditions in a thin domain

• Autorzy: Dilmi Mohamed

Identyfikatory

DOI

10.7862/rf.2023.7

• Języki publikacji: EN

Abstrakty

EN

This paper concerns the asymptotic behaviour of the initial boundary value problem of a class of reaction-diffusion systems (coupled parabolic systems) posed in a thin domain with Dirichlet-Fourier boundary conditions. We first prove the existence and uniqueness of the solution to the problem for fixed ε >0 by the Galerkin method. Then, we give the characterization of the limiting behaviour of these solution as the thinness tends to zero.

Słowa kluczowe

EN

asymptotic behaviour; coupled parabolic system; Galerkin method; weak formulation

PL

zachowanie asymptotyczne; układ sprzężony parabolicznie; metoda Galerkina; słabe sformułowanie

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2023
• Tom: Vol. 46
• Strony: 163--185
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Dilmi Mohamed

• Department of Mathematics, Faculty of Science, University of Saad Dahlab, Blida 1, Algeria
• Laboratory for Pure and Applied Mathematics, University of M′sila, Bp166 M’sila 28000, Algeria

• https://orcid.org/0000-0003-2114-8891

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).