Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1986, Volume 28, Pages 95–205 (Mi intd92)  
This article is cited in 89 scientific papers (total in 89 papers)

A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures

V. A. Galaktionov, V. A. Dorodnitsyn, G. G. Yelenin, S. P. Kurdyumov, A. A. Samarskii
Full-text PDF (5164 kB) Citations (89)
Abstract: A survey is given of results of investigating unbounded solutions (regimes with peaking) of quasilinear parabolic equations of nonlinear heat conduction with a source. Principal attention is devoted to the investigation of the property of localization of regimes with peaking. A group classification of nonlinear equations of this type is carried out, properties of a broad set of invariant (self-similar) solutions are investigated, and special methods of investigating the space-time structure of unbounded solutions are developed.
English version:
Journal of Soviet Mathematics, 1988, Volume 41, Issue 5, Pages 1222–1292
DOI: https://doi.org/10.1007/BF01098785
Bibliographic databases:
UDC: 517.956.45+517.958
Language: Russian
Citation: V. A. Galaktionov, V. A. Dorodnitsyn, G. G. Yelenin, S. P. Kurdyumov, A. A. Samarskii, “A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28, VINITI, Moscow, 1986, 95–205; J. Soviet Math., 41:5 (1988), 1222–1292
Citation in format AMSBIB
\Bibitem{GalDorYel86}
\by V.~A.~Galaktionov, V.~A.~Dorodnitsyn, G.~G.~Yelenin, S.~P.~Kurdyumov, A.~A.~Samarskii
\paper A quasilinear equation of heat conduction with a~source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1986
\vol 28
\pages 95--205
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd92}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=894259}
\zmath{https://zbmath.org/?q=an:0654.35045|0699.35134}
\transl
\jour J. Soviet Math.
\yr 1988
\vol 41
\issue 5
\pages 1222--1292
\crossref{https://doi.org/10.1007/BF01098785}
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  • https://www.mathnet.ru/eng/intd/v28/p95
    • This publication is cited in the following 89 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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