TY  - JOUR
AU  - Godunova, E. K.
AU  - Levin, V. I.
PY  - 1966
DA  - 1966//
TI  - Some general features of heat conduction
T2  - USSR Computational Mathematics and Mathematical Physics
JO  - USSR Computational Mathematics and Mathematical Physics
SP  - 212
EP  - 220
VL  - 6
IS  - 6
KW  - mathematics
KW  - temperature distribution
KW  - rod
AB  - 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.
SN  - 0041-5553
UR  - https://linkinghub.elsevier.com/retrieve/pii/004155536690173X
UR  - https://doi.org/10.1016/0041-5553(66)90173-X
DO  - 10.1016/0041-5553(66)90173-X
N1  - Некоторые качественные вопросы теплопроводности; Одногорбое распределение останется одногорбым
ID  - Godunova+Levin1966
ER  -