Home | << 1 >> |
Record | |||||
---|---|---|---|---|---|
Author | Godunova, E. K.; Levin, V. I. | ||||
Title | Some general features of heat conduction | Type | Journal Article | ||
Year | 1966 | Publication | USSR Computational Mathematics and Mathematical Physics | Abbreviated Journal | USSR Computational Mathematics and Mathematical Physics |
Volume | 6 | Issue | 6 | Pages | 212-220 |
Keywords | mathematics, temperature distribution, rod | ||||
Abstract | LET the initial temperature distribution in an infinite insulated rod without a heat source be given by a continuously differentiable function y = f(x), having a single maximum at x = 0 and two points of inflexion. The equation f′ = 0 then has a unique solution x = 0, where f′(x) > 0 for x < 0 and f′(x) < 0 for x > 0, We shall describe this as a one-hymped distribution. We shall assume that f/(x) also satisfies: (1) f(x) > 0 for − ∞ < x < ∞; (2) f(x) and x(fx) are integrable throughout the axis. Then the distribution remains one-humped for all t > 0. | ||||
Address | |||||
Corporate Author | Thesis | ||||
Publisher | Place of Publication | Editor | |||
Language | Summary Language | Original Title | |||
Series Editor | Series Title | Abbreviated Series Title | |||
Series Volume | Series Issue | Edition | |||
ISSN | 0041-5553 | ISBN | Medium | ||
Area | Expedition | Conference | |||
Notes | Некоторые качественные вопросы теплопроводности; Одногорбое распределение останется одногорбым | Approved | no | ||
Call Number | Serial | 1701 | |||
Permanent link to this record |