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Mathematical physics
Stability analysis of polymerization fronts
Y. Joundya, H. Rouahb, A. Taikb a Polydisciplinary Faculty of Sidi Bennour, Chouaib Doukkali University
El Jadida, Morocco
b Department of Mathematics, FSTM, Laboratory of Mathematics and Applications, University Hassan II-Casablanca, PO Box146
Mohammedia, Morocco
Abstract:
In this article, we study the influence of certain parameters on the stability conditions of the reaction front in a liquid medium. The mathematical model consists of the heat equation, the concentration equation and the Navier–Stockes equation under the Boussinesq approximation. An asymptotic analysis was performed using the approximation proposed by Zeldovich and Frank–Kamentskii to obtain the interface problem. A stability analysis was carried out to obtain a linearized problem which will be solved numerically using a multiquadric radial basis function method to find the convective threshold. This will allow us to conclude the effect of each parameter on the stability of the front, in particular the amplitude and the resonance frequency.
Key words:
stability analysis, asymptotic analysis, multiquadric radial basis functions method, frontal polymerization, reaction-diffusion equations.
Received: 07.07.2023 Revised: 07.07.2023 Accepted: 22.08.2023
Citation:
Y. Joundy, H. Rouah, A. Taik, “Stability analysis of polymerization fronts”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 2094; Comput. Math. Math. Phys., 63:12 (2023), 2372–2383
Linking options:
https://www.mathnet.ru/eng/zvmmf11673 https://www.mathnet.ru/eng/zvmmf/v63/i12/p2094
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