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Author  |
Godunova, E. K.; Levin, V. I. |
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Title |
Some general features of heat conduction |
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Journal Article |
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Year |
1966 |
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USSR Computational Mathematics and Mathematical Physics |
Abbreviated Journal |
USSR Computational Mathematics and Mathematical Physics |
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6 |
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6 |
Pages |
212-220 |
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Keywords |
mathematics, temperature distribution, rod |
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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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0041-5553 |
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Notes |
Некоторые качественные вопросы теплопроводности; Одногорбое распределение останется одногорбым |
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1701 |
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