Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction

V. F. Butuzov; L. V. Kalachev

doi:10.1016/0041-5553(88)90175-9

Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction

V. F. Butuzov, L. V. Kalachev

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A singularly perturbed system of two parabolic equations which describes combustion in the case of an autocatalytic first-order reaction allowing for diffusion and heat transfer is considered. An asymptotic expansion for the solution of this problem in the case when the reaction proceeds non-explosively is constructed on the basis of the boundary function method and proved.

Original language	English
Pages (from-to)	39-47
Number of pages	9
Journal	USSR Computational Mathematics and Mathematical Physics
Volume	28
Issue number	3
DOIs	https://doi.org/10.1016/0041-5553(88)90175-9
State	Published - 1988

Access to Document

10.1016/0041-5553(88)90175-9

Cite this

@article{90c44b99fa784e0caded1055fd5aee1f,

title = "Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction",

abstract = "A singularly perturbed system of two parabolic equations which describes combustion in the case of an autocatalytic first-order reaction allowing for diffusion and heat transfer is considered. An asymptotic expansion for the solution of this problem in the case when the reaction proceeds non-explosively is constructed on the basis of the boundary function method and proved.",

author = "Butuzov, \{V. F.\} and Kalachev, \{L. V.\}",

year = "1988",

doi = "10.1016/0041-5553(88)90175-9",

language = "English",

volume = "28",

pages = "39--47",

journal = "USSR Computational Mathematics and Mathematical Physics",

issn = "0041-5553",

publisher = "Pergamon Press Ltd.",

number = "3",

}

TY - JOUR

T1 - Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction

AU - Butuzov, V. F.

AU - Kalachev, L. V.

PY - 1988

Y1 - 1988

N2 - A singularly perturbed system of two parabolic equations which describes combustion in the case of an autocatalytic first-order reaction allowing for diffusion and heat transfer is considered. An asymptotic expansion for the solution of this problem in the case when the reaction proceeds non-explosively is constructed on the basis of the boundary function method and proved.

AB - A singularly perturbed system of two parabolic equations which describes combustion in the case of an autocatalytic first-order reaction allowing for diffusion and heat transfer is considered. An asymptotic expansion for the solution of this problem in the case when the reaction proceeds non-explosively is constructed on the basis of the boundary function method and proved.

UR - https://www.scopus.com/pages/publications/45549112765

U2 - 10.1016/0041-5553(88)90175-9

DO - 10.1016/0041-5553(88)90175-9

M3 - Article

AN - SCOPUS:45549112765

SN - 0041-5553

VL - 28

SP - 39

EP - 47

JO - USSR Computational Mathematics and Mathematical Physics

JF - USSR Computational Mathematics and Mathematical Physics

IS - 3

ER -

Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction

Abstract

Access to Document

Other files and links

Fingerprint

Cite this