Asymptotics of the solution of the main problem of the integral fire theory

We obtain asymptotic representations at zero and infinity for the solution of the main problem of the integral theory of fire in a room with a single opening, compute the initial height of the equal pressure plane, and derive conditions under which the one-sided operation mode of the opening can be...

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Bibliographic Details
Published in:Differential equations 2010-01, Vol.46 (1), p.24-29
Main Authors: Demenchuk, A. K., Makarov, E. K.
Format: Article
Language:English
Subjects:
Asymptotic methods
Cauchy problems
Difference and Functional Equations
Differential equations
Gases
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
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Summary:We obtain asymptotic representations at zero and infinity for the solution of the main problem of the integral theory of fire in a room with a single opening, compute the initial height of the equal pressure plane, and derive conditions under which the one-sided operation mode of the opening can be implemented.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266110010040