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Application of a Numerical-Asymptotic Approach to the Problem of Restoring the Parameters of a Local Stationary Source of Anthropogenic Pollution

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Abstract

A numerical-asymptotic approach is used to solve some coefficient inverse problems of tracer diffusion in the atmosphere. An asymptotic solution of the direct problem for an effective prognostic equation in the near-field zone of the source is obtained via a rigorous asymptotic analysis of a multidimensional singularly perturbed reaction–diffusion–advection problem. This solution is used as a priori information to construct a numerical algorithm for solving the inverse problem of recovering the parameters of an anthropogenic pollution source. The algorithm is implemented using sounding data on the Earth’s atmospheric composition obtained from the Russian Resurs-P satellite with highest available spatial resolution. For the first time, atmospheric pollutant emissions (nitrogen dioxide) from an isolated industrial source have been estimated by applying high-precision space monitoring and mathematical methods.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-29-10080 (the construction of the model and development of the algorithm for recovering source parameters, M.A. Davydova and S.A. Zakharova; analysis of the results, jointly), project no. 20-05-00826 (processing of satellite atmospheric sounding data, O.V. Postylyakov), and project no. 19-05-50088 (analysis of meteorological data, N.F. Elansky).

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Authors and Affiliations

  1. Faculty of Physics, Lomonosov Moscow State University, 119992, Moscow, Russia

    M. A. Davydova & S. A. Zakharova

  2. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, 119017, Moscow, Russia

    N. F. Elansky & O. V. Postylyakov

Authors
  1. M. A. Davydova
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  2. N. F. Elansky
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  3. S. A. Zakharova
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  4. O. V. Postylyakov
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Corresponding authors

Correspondence to M. A. Davydova, N. F. Elansky, S. A. Zakharova or O. V. Postylyakov.

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Translated by I. Ruzanova

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Davydova, M.A., Elansky, N.F., Zakharova, S.A. et al. Application of a Numerical-Asymptotic Approach to the Problem of Restoring the Parameters of a Local Stationary Source of Anthropogenic Pollution. Dokl. Math. 103, 26–31 (2021). https://doi.org/10.1134/S1064562421010026

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  • DOI: https://doi.org/10.1134/S1064562421010026

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