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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 496, Pages 34–39
DOI: https://doi.org/10.31857/S2686954321010021
(Mi danma150)
 

This article is cited in 14 scientific papers (total in 14 papers)

MATHEMATICS

Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution

M. A. Davydovaa, N. F. Elanskyb, S. A. Zakharovaa, O. V. Postylyakovb

a Lomonosov Moscow State University, Moscow, Russian Federation
b A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Moscow, Russian Federation
References:
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.
Keywords: singularly perturbed reaction–diffusion–advection models, asymptotic methods, coefficient inverse problems, estimation of pollutant emissions high-precision satellite imagery of tropospheric NO$_2$.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10080
20-05-00826
19-05-50088
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).
Received: 16.11.2020
Revised: 16.11.2020
Accepted: 14.12.2020
English version:
Doklady Mathematics, 2021, Volume 103, Issue 1, Pages 26–31
DOI: https://doi.org/10.1134/S1064562421010026
Bibliographic databases:
Document Type: Article
UDC: 517.953
Language: Russian
Citation: M. A. Davydova, N. F. Elansky, S. A. Zakharova, O. V. Postylyakov, “Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution”, Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021), 34–39; Dokl. Math., 103:1 (2021), 26–31
Citation in format AMSBIB
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\paper Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2021
\vol 496
\pages 34--39
\mathnet{http://mi.mathnet.ru/danma150}
\crossref{https://doi.org/10.31857/S2686954321010021}
\zmath{https://zbmath.org/?q=an:1477.35015}
\elib{https://elibrary.ru/item.asp?id=44829627}
\transl
\jour Dokl. Math.
\yr 2021
\vol 103
\issue 1
\pages 26--31
\crossref{https://doi.org/10.1134/S1064562421010026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85105375590}
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  • This publication is cited in the following 14 articles:
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    Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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