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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. | ||||
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| Corporate Author | Thesis | ||||
| Publisher | Place of Publication | Editor | |||
| Language | Summary Language | Original Title | |||
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| 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 | |||
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