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Statistical Characteristics of Solutions of the System of the Stochastic Transfer Model

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Abstract

This paper proposes a new stochastic transport model formalized in differential equations with random parameters. Explicit formulas for the mathematical expectation and the second-moment function for solving the corresponding equations are given. The estimation of the influence of random factors on the system, in the case of replacing the random coefficient of the equation by its mathematical expectation, is determined. An example with the Gaussian distribution of the random coefficients is also presented and discusser. This paper shows that the proposed model is applicable to the description of heat and moisture transfer processes in the surface layer of the atmosphere.

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Funding

M.E. Semenova (see sections 3 and 4) was supported by the Russian Science Foundation (grant 19-11-00197).

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    V. G. Zadorozhniy & M. E. Semenov

  2. Geophysical Survey, Russian Academy of Sciences, Moscow, Russia

    M. E. Semenov

  3. Zhukovsky–Gagarin Air Force Academy, Voronezh, Russia

    V. G. Zadorozhniy, M. E. Semenov, I. I. Ulshin & V. S. Nozhkin

  4. State Research Institute of Aviation Systems, Moscow, Russia

    N. I. Sel’vesyuk

Authors
  1. V. G. Zadorozhniy
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  2. M. E. Semenov
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  3. N. I. Sel’vesyuk
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  4. I. I. Ulshin
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  5. V. S. Nozhkin
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Correspondence to V. S. Nozhkin.

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Zadorozhniy, V.G., Semenov, M.E., Sel’vesyuk, N.I. et al. Statistical Characteristics of Solutions of the System of the Stochastic Transfer Model. Math Models Comput Simul 13, 11–25 (2021). https://doi.org/10.1134/S2070048221010166

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  • DOI: https://doi.org/10.1134/S2070048221010166

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