Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 207, Pages 48–60
DOI: https://doi.org/10.36535/0233-6723-2022-207-48-60 (Mi into978) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some mathematical problems of atmospheric electricity

A. V. Kalininab, A. A. Tyukhtinaa

a National Research Lobachevsky State University of Nizhny Novgorod
b Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod
Full-text PDF (259 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2022-207-48-60
Abstract: In this paper, we discuss various formulations of mathematical problems arising in the description of the global electric circuit in the Earth's atmosphere. We consider initial-boundary-value problems for the nonstationary system of Maxwell equations, the system of Maxwell equations in the nonrelativistic electric approximation, and for the system of Maxwell equations in the quasistationary approximation generalizing the nonrelativistic electric and magnetic approximations.
Keywords: atmospheric electricity, global electric circuit, system of Maxwell equations, quasi-stationary approximation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This work was supported by the Ministry of Education and Science of the Russian Federation within the framework of the Regional scientific and educational mathematical center “Mathematics of Future Technologies.”
Document Type: Article
UDC: 517.958
MSC: 35Q61
Language: Russian
Citation: A. V. Kalinin, A. A. Tyukhtina, “Some mathematical problems of atmospheric electricity”, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207, VINITI, Moscow, 2022, 48–60
Citation in format AMSBIB
\Bibitem{KalTyu22}
\by A.~V.~Kalinin, A.~A.~Tyukhtina
\paper Some mathematical problems of atmospheric electricity
\inbook Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 207
\pages 48--60
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into978}
\crossref{https://doi.org/10.36535/0233-6723-2022-207-48-60}
Linking options:
  • https://www.mathnet.ru/eng/into978
  • https://www.mathnet.ru/eng/into/v207/p48
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025