Geodesic
A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 28 (1986), pp. 95-205 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{INTD_1986_28_a1,
     author = {V. A. Galaktionov and V. A. Dorodnitsyn and G. G. Yelenin and S. P. Kurdyumov and A. A. Samarskii},
     title = {A quasilinear equation of heat conduction with a~source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {95--205},
     year = {1986},
     volume = {28},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1986_28_a1/}
}
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AU  - V. A. Dorodnitsyn
AU  - G. G. Yelenin
AU  - S. P. Kurdyumov
AU  - A. A. Samarskii
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%0 Journal Article
%A V. A. Galaktionov
%A V. A. Dorodnitsyn
%A G. G. Yelenin
%A S. P. Kurdyumov
%A A. A. Samarskii
%T A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1986
%P 95-205
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%U http://geodesic.mathdoc.fr/item/INTD_1986_28_a1/
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%F INTD_1986_28_a1
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. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 28 (1986), pp. 95-205. http://geodesic.mathdoc.fr/item/INTD_1986_28_a1/