### Investigation of the copolymerization of alphamethylstyrene with maleic anhydride by mathematical modeling methods

Title Investigation of the copolymerization of alphamethylstyrene with maleic anhydride by mathematical modeling methods I. V. Grigoryev1, S. A. Mustafina11Sterlitamak branch of the Bashkir State University 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. kinetic scheme, method of moments, copolymerization, number average molecular weight, weight average molecular weight 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: 10.12.2019.