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.

中文翻译：

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数值渐近方法在恢复人为污染局部固定源参数中的应用

摘要

数值渐近方法用于解决示踪剂在大气中扩散的一些系数反问题。通过对多维奇异摄动反应-扩散-对流问题进行严格的渐近分析，可以获得源近场区域中有效预后方程直接问题的渐近解。该解决方案被用作先验信息，以构造数值算法来解决恢复人为污染源参数的反问题。该算法是使用从俄罗斯Resurs-P卫星获得的具有最高可用空间分辨率的地球大气成分的探测数据来实现的。首次，