Geodesic
Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 496 (2021), pp. 34-39

Voir la notice de l'article provenant de la source Math-Net.Ru

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$_2$. 
@article{DANMA_2021_496_a6,
     author = {M. A. Davydova and N. F. Elansky and S. A. Zakharova and O. V. Postylyakov},
     title = {Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {34--39},
     publisher = {mathdoc},
     volume = {496},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_496_a6/}
}
TY  - JOUR
AU  - M. A. Davydova
AU  - N. F. Elansky
AU  - S. A. Zakharova
AU  - O. V. Postylyakov
TI  - Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution
JO  - Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
PY  - 2021
SP  - 34
EP  - 39
VL  - 496
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DANMA_2021_496_a6/
LA  - ru
ID  - DANMA_2021_496_a6
ER  - 
%0 Journal Article
%A M. A. Davydova
%A N. F. Elansky
%A S. A. Zakharova
%A O. V. Postylyakov
%T Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution
%J Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ
%D 2021
%P 34-39
%V 496
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DANMA_2021_496_a6/
%G ru
%F DANMA_2021_496_a6
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. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 496 (2021), pp. 34-39. http://geodesic.mathdoc.fr/item/DANMA_2021_496_a6/