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
Citer cet article
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/
@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/}
}
TY - JOUR
AU - V. A. Galaktionov
AU - V. A. Dorodnitsyn
AU - G. G. Yelenin
AU - S. P. Kurdyumov
AU - A. A. Samarskii
TI - A quasilinear equation of heat conduction with a source: peaking, localization, symmetry, exact solutions, asymptotic behavior, structures
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1986
SP - 95
EP - 205
VL - 28
UR - http://geodesic.mathdoc.fr/item/INTD_1986_28_a1/
LA - ru
ID - INTD_1986_28_a1
ER -
%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
%V 28
%U http://geodesic.mathdoc.fr/item/INTD_1986_28_a1/
%G ru
%F INTD_1986_28_a1
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.
