%0 Journal Article
%T Some general features of heat conduction
%A Godunova, E. K.
%A Levin, V. I.
%J USSR Computational Mathematics and Mathematical Physics
%D 1966
%V 6
%N 6
%@ 0041-5553
%F Godunova+Levin1966
%O Некоторые качественные вопросы теплопроводности; Одногорбое распределение останется одногорбым
%O exported from refbase (https://db.rplab.ru/refbase/show.php?record=1701), last updated on Fri, 28 May 2021 15:37:04 -0500
%X 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.
%K mathematics
%K temperature distribution
%K rod
%R 10.1016/0041-5553(66)90173-X
%U https://linkinghub.elsevier.com/retrieve/pii/004155536690173X
%U https://doi.org/10.1016/0041-5553(66)90173-X
%P 212-220