Solution of stationary conjugation problem heat exchange in the ultimate cylinders
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 519-526
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Solved problem of stationary heat distribution for two contacting cylinder when the temperature on the whole boundary of the cylinders is known. On the surface division the conditions of conjugation are given: equal temperature and heat flows. Stationary temperature distribution is found in the form of Fourier's sets. Their convergence is proved in functional space and the uniqueness of solution is proved.
Mots-clés :
conjugation marginal problem, equation Laplasa, interface, a priori estimation.
@article{JSFU_2011_4_4_a9,
author = {Evgeny P. Magdenko},
title = {Solution of stationary conjugation problem heat exchange in the ultimate cylinders},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {519--526},
publisher = {mathdoc},
volume = {4},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a9/}
}
TY - JOUR AU - Evgeny P. Magdenko TI - Solution of stationary conjugation problem heat exchange in the ultimate cylinders JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2011 SP - 519 EP - 526 VL - 4 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a9/ LA - ru ID - JSFU_2011_4_4_a9 ER -
%0 Journal Article %A Evgeny P. Magdenko %T Solution of stationary conjugation problem heat exchange in the ultimate cylinders %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2011 %P 519-526 %V 4 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a9/ %G ru %F JSFU_2011_4_4_a9
Evgeny P. Magdenko. Solution of stationary conjugation problem heat exchange in the ultimate cylinders. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 519-526. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a9/