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A mathematical model of a class of problems for the transport of a mixture in air

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Abstract

An analytic solution of a class of boundary-value problems of mathematical physics describing the transport of a mixture in the atmosphere is considered. To solve these problems we apply the substitution method and the Fourier method. The solution of a boundary problem describing the process of contamination of the atmosphere by various substances is presented in the form of a series. The result obtained is useful for the solution of problems concerning the protection of the atmosphere.

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Literature cited

  1. G. I. Marchuk, Mathematical Models of the Environment [in Russian], Moscow (1982).

  2. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1966).

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Authors and Affiliations

  1. Tadzhik Agricultural Institute and Institute for Problems in Mathematical Modelling and Energetics, Academy of Sciences of the Ukrainian SSR, Kiev

    Z. B. Burkhanov & P. A. Rudchenko

Authors
  1. Z. B. Burkhanov
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  2. P. A. Rudchenko
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Translated fromVychislitel'naya i Prikladnaya Matematika, No. 69, pp. 87–90, 1989.

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Burkhanov, Z.B., Rudchenko, P.A. A mathematical model of a class of problems for the transport of a mixture in air. J Math Sci 67, 3100–3103 (1993). https://doi.org/10.1007/BF01098147

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  • DOI: https://doi.org/10.1007/BF01098147

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