Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 1, Pages 184–202
DOI: https://doi.org/10.4213/tmf10113 (Mi tmf10113) 		 
On a free boundary problem for the relaxation transfer equation

J. O. Takhirov, M. T. Umirkhonov

Romanovskiy Institute of Mathematcs, Academy of Sciences of the~Republic of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (484 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10113
Abstract: We study the free boundary problem with no initial conditions for a third-order relaxation transfer equation. First, we reduce the problem to a second-order equation and prove the uniqueness theorem. The solution of this problem is constructed as a limit of solutions of corresponding problems that are first reduced to a Stefan-type problem with initial conditions. Free boundary behavior is explored.
Keywords: relaxation, transfer, free boundary, a priori estimate, existence and uniqueness of solution.
Received: 18.04.2021
Revised: 22.05.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 1, Pages 1473–1489
DOI: https://doi.org/10.1134/S0040577921100093
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: J. O. Takhirov, M. T. Umirkhonov, “On a free boundary problem for the relaxation transfer equation”, TMF, 209:1 (2021), 184–202; Theoret. and Math. Phys., 209:1 (2021), 1473–1489
Citation in format AMSBIB
\Bibitem{TakUmi21}
\by J.~O.~Takhirov, M.~T.~Umirkhonov
\paper On a~free boundary problem for the~relaxation transfer equation
\jour TMF
\yr 2021
\vol 209
\issue 1
\pages 184--202
\mathnet{http://mi.mathnet.ru/tmf10113}
\crossref{https://doi.org/10.4213/tmf10113}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021TMP...209.1473T}
\elib{https://elibrary.ru/item.asp?id=47515903}
\transl
\jour Theoret. and Math. Phys.
\yr 2021
\vol 209
\issue 1
\pages 1473--1489
\crossref{https://doi.org/10.1134/S0040577921100093}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000708924700009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85117573390}
Linking options:
  • https://www.mathnet.ru/eng/tmf10113
  • https://doi.org/10.4213/tmf10113
  • https://www.mathnet.ru/eng/tmf/v209/i1/p184
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:216
    Full-text PDF :47
    References:48
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024