Title | Investigation of the copolymerization of alphamethylstyrene with maleic anhydride by mathematical modeling methods |
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Authors | I. V. Grigoryev^{1}, S. A. Mustafina^{1}^{1}Sterlitamak branch of the Bashkir State University |

Annotation | In this article the mechanism of radical copolymerization of $\alpha$-methylstyrene with maleic anhydride in a heterogeneous medium is studied. A copolymer of $\alpha$-methylstyrene and maleic anhydride was prepared in an aromatic solvent-benzene using an initiator-azodiisobutyronitrile. The conditions for the copolymerization of $\alpha$-methylstyrene with maleic anhydride are selected. Based on the mechanism of radical copolymerization of $\alpha$-methylstyrene with maleic anhydride, a mathematical model of the process is constructed, which allows to study the process, to study the dynamics of concentrations of reacting substances in a heterogeneous medium and to predict the properties of the product. |

Keywords | kinetic scheme, method of moments, copolymerization, number average molecular weight, weight average molecular weight |

Citation | Grigoryev I. V., Mustafina S. A. ''Investigation of the copolymerization of alphamethylstyrene with maleic anhydride by mathematical modeling methods'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 341-347. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper47.pdf. - Date of access: 15.10.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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