Localized compression regimes in a heat-conducting gas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 535-547
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The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity $\varkappa=\varkappa_0\rho^\alpha T^\beta$, $\beta>0$, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.
@article{ZVMMF_1990_30_4_a5,
author = {V. V. Gudkov and A. P. Mikhailov and V. V. Stepanova},
title = {Localized compression regimes in a~heat-conducting gas},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {535--547},
publisher = {mathdoc},
volume = {30},
number = {4},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a5/}
}
TY - JOUR AU - V. V. Gudkov AU - A. P. Mikhailov AU - V. V. Stepanova TI - Localized compression regimes in a heat-conducting gas JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 535 EP - 547 VL - 30 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a5/ LA - ru ID - ZVMMF_1990_30_4_a5 ER -
%0 Journal Article %A V. V. Gudkov %A A. P. Mikhailov %A V. V. Stepanova %T Localized compression regimes in a heat-conducting gas %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 535-547 %V 30 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a5/ %G ru %F ZVMMF_1990_30_4_a5
V. V. Gudkov; A. P. Mikhailov; V. V. Stepanova. Localized compression regimes in a heat-conducting gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 535-547. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a5/