Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 695-703
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The existence of a solution to the problem modeling a steady-state heat distribution in an inhomogeneous plane with a crack is proved. The singular terms of an asymptotic expansion of the heat flux near the ends of the crack are obtained in closed form.
@article{ZVMMF_2015_55_4_a15,
author = {A. V. Glushko and E. A. Loginova and V. E. Petrova and A. S. Ryabenko},
title = {Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {695--703},
publisher = {mathdoc},
volume = {55},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a15/}
}
TY - JOUR AU - A. V. Glushko AU - E. A. Loginova AU - V. E. Petrova AU - A. S. Ryabenko TI - Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 695 EP - 703 VL - 55 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a15/ LA - ru ID - ZVMMF_2015_55_4_a15 ER -
%0 Journal Article %A A. V. Glushko %A E. A. Loginova %A V. E. Petrova %A A. S. Ryabenko %T Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2015 %P 695-703 %V 55 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a15/ %G ru %F ZVMMF_2015_55_4_a15
A. V. Glushko; E. A. Loginova; V. E. Petrova; A. S. Ryabenko. Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 695-703. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a15/