Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 8, Pages 1420–1430
DOI: https://doi.org/10.1134/S0044466919080088 (Mi zvmmf10943) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Inverse problem for equations of complex heat transfer

G. V. Grenkinab, A. Yu. Chebotarevab

a Far Eastern Federal University, Vladivostok, 690950 Russia
b Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919080088
Abstract: The inverse problem with integral overdetermination for the equations of complex heat transfer, including the ${{P}_{1}}$ approximation for the stationary radiative transfer equation, is considered. Sufficient conditions for nonlocal unique solvability of the inverse problem are found. The theoretical analysis is illustrated by numerical examples.
Key words: quasi-stationary equations of radiative heat transfer, inverse problem, nonlocal unique solvability, numerical modeling.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI58417X0031
This work was supported by the Ministry of Education and Science of the Russian Federation, project no. RFMEFI58417X0031.
Received: 07.03.2019
Revised: 07.03.2019
Accepted: 10.04.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 8, Pages 1361–1371
DOI: https://doi.org/10.1134/S0965542519080086
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “Inverse problem for equations of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019), 1420–1430; Comput. Math. Math. Phys., 59:8 (2019), 1361–1371
Citation in format AMSBIB
\Bibitem{GreChe19}
\by G.~V.~Grenkin, A.~Yu.~Chebotarev
\paper Inverse problem for equations of complex heat transfer
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 8
\pages 1420--1430
\mathnet{http://mi.mathnet.ru/zvmmf10943}
\crossref{https://doi.org/10.1134/S0044466919080088}
\elib{https://elibrary.ru/item.asp?id=39149036}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 8
\pages 1361--1371
\crossref{https://doi.org/10.1134/S0965542519080086}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000487804000013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073078985}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10943
  • https://www.mathnet.ru/eng/zvmmf/v59/i8/p1420
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024