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, 2007, Volume 152, Number 1, Pages 58–65
DOI: https://doi.org/10.4213/tmf6070
(Mi tmf6070)
 

This article is cited in 1 scientific paper (total in 1 paper)

Half-line solutions of a nonlinear heat conduction problem

S. De Lilloa, G. Lupob, M. Sommacalc

a Università degli Studi di Perugia
b Dipartimento di Matematica e Informatica, Universita degli Studi di Perugia
c Université Pierre & Marie Curie, Paris VI
Full-text PDF (592 kB) Citations (1)
References:
Abstract: We solve a half-line problem for a nonlinear diffusion equation with a given time-dependent thermal conductivity at the origin. The problem reduces to a linear Volterra integral equation, which is solvable by Picard's process of successive approximations. We analyze some explicit examples numerically.
Keywords: nonlinear, heat conduction, half-line.
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 1, Pages 926–932
DOI: https://doi.org/10.1007/s11232-007-0078-0
Bibliographic databases:
Language: Russian
Citation: S. De Lillo, G. Lupo, M. Sommacal, “Half-line solutions of a nonlinear heat conduction problem”, TMF, 152:1 (2007), 58–65; Theoret. and Math. Phys., 152:1 (2007), 926–932
Citation in format AMSBIB
\Bibitem{De LupSom07}
\by S.~De Lillo, G.~Lupo, M.~Sommacal
\paper Half-line solutions of a~nonlinear heat conduction problem
\jour TMF
\yr 2007
\vol 152
\issue 1
\pages 58--65
\mathnet{http://mi.mathnet.ru/tmf6070}
\crossref{https://doi.org/10.4213/tmf6070}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2398324}
\zmath{https://zbmath.org/?q=an:1130.35347}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2007TMP...152..926L}
\elib{https://elibrary.ru/item.asp?id=9557744}
\transl
\jour Theoret. and Math. Phys.
\yr 2007
\vol 152
\issue 1
\pages 926--932
\crossref{https://doi.org/10.1007/s11232-007-0078-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000249207000006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548402179}
Linking options:
  • https://www.mathnet.ru/eng/tmf6070
  • https://doi.org/10.4213/tmf6070
  • https://www.mathnet.ru/eng/tmf/v152/i1/p58
  • This publication is cited in the following 1 articles:
    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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024