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Stability Analysis of Polymerization Fronts

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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.

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. Polydisciplinary Faculty of Sidi Bennour, Chouaib Doukkali University, El Jadida, Morocco

    Y. Joundy

  2. Department of Mathematics, FSTM, Laboratory of Mathematics and Applications, University Hassan II-Casablanca, PO Box146, Mohammedia, Morocco

    H. Rouah & A. Taik

Authors
  1. Y. Joundy
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  2. H. Rouah
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  3. A. Taik
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Correspondence to H. Rouah.

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Joundy, Y., Rouah, H. & Taik, A. Stability Analysis of Polymerization Fronts. Comput. Math. and Math. Phys. 63, 2372–2383 (2023). https://doi.org/10.1134/S0965542523120138

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  • DOI: https://doi.org/10.1134/S0965542523120138

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