Geodesic
Mathematical model of human intoxication at nuclear enterprises in ordinary production conditions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 8-22

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In this paper, we discuss a mathematical model describing the contamination of a working room at an enterprise of the nuclear industry with products of hydrolysis of uranium hexafluoride. The model is based on boundary-value problems for the continuity equations written for the concentrations of molecules of gaseous substances and for the specific (with respect to the radii of aerosol particles) concentration of molecules of aerosol substances. These boundary-value problems are considered within the framework of the perturbation theory. We assume that the diffusion of gases proceeds much slower than hydrolysis, nucleation, and air exchange, and the diffusion of aerosols proceeds much slower than the macroscopic motion of aerosols and air exchange. We construct approximate solutions of the basic boundary-value problems of the mathematical model considered and estimate the errors.
Keywords: uranium hexafluoride, mathematical model, boundary-value problem, perturbation theory, method of boundary functions. 
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     title = {Mathematical model of human intoxication at nuclear enterprises in ordinary production conditions},
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S. P. Babenko; A. V. Badin. Mathematical model of human intoxication at nuclear enterprises in ordinary production conditions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 8-22. http://geodesic.mathdoc.fr/item/INTO_2021_194_a1/