@Article{Godunova+Levin1966,
author="Godunova, E. K.
and Levin, V. I.",
title="Some general features of heat conduction",
journal="USSR Computational Mathematics and Mathematical Physics",
year="1966",
volume="6",
number="6",
pages="212--220",
optkeywords="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{\textasciiacutex} = 0 then has a unique solution x = 0, where f{\textasciiacutex}(x) > 0 for x < 0 and f{\textasciiacutex}(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 - $\infty$ < x < $\infty$; (2) f(x) and x(fx) are integrable throughout the axis. Then the distribution remains one-humped for all t > 0.",
optnote="Некоторые качественные вопросы теплопроводности; Одногорбое распределение останется одногорбым",
optnote="exported from refbase (https://db.rplab.ru/refbase/show.php?record=1701), last updated on Fri, 28 May 2021 15:37:04 -0500",
issn="0041-5553",
doi="10.1016/0041-5553(66)90173-X",
opturl="https://linkinghub.elsevier.com/retrieve/pii/004155536690173X",
opturl="https://doi.org/10.1016/0041-5553(66)90173-X"
}