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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
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$_2$.
Received: 16.11.2020 Revised: 16.11.2020 Accepted: 14.12.2020
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
Linking options:
https://www.mathnet.ru/eng/danma150 https://www.mathnet.ru/eng/danma/v496/p34
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