Similar solutions existence and features for piston problem in gas dynamics
Matematičeskoe modelirovanie, Tome 5 (1993) no. 7, pp. 71-85
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An existence of similar solutions of piston problem for gas dynamic equations is shown. A piston velosity may increase or decrease with time. Initially a gas has zero velocity and pressure, its initial density has non-uniform distribution in space. An ad hoc form of ODE describing similar solutions is used in order to prove the existence. A space-time profiles of solutions and conditions of their non-monotony are obtained.
@article{MM_1993_5_7_a7,
author = {M. M. Ad'yutov and Yu. A. Klokov and A. P. Mikhailov and V. V. Stepanova and A. A. Shamray},
title = {Similar solutions existence and features for piston problem in gas dynamics},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {71--85},
year = {1993},
volume = {5},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1993_5_7_a7/}
}
TY - JOUR AU - M. M. Ad'yutov AU - Yu. A. Klokov AU - A. P. Mikhailov AU - V. V. Stepanova AU - A. A. Shamray TI - Similar solutions existence and features for piston problem in gas dynamics JO - Matematičeskoe modelirovanie PY - 1993 SP - 71 EP - 85 VL - 5 IS - 7 UR - http://geodesic.mathdoc.fr/item/MM_1993_5_7_a7/ LA - ru ID - MM_1993_5_7_a7 ER -
%0 Journal Article %A M. M. Ad'yutov %A Yu. A. Klokov %A A. P. Mikhailov %A V. V. Stepanova %A A. A. Shamray %T Similar solutions existence and features for piston problem in gas dynamics %J Matematičeskoe modelirovanie %D 1993 %P 71-85 %V 5 %N 7 %U http://geodesic.mathdoc.fr/item/MM_1993_5_7_a7/ %G ru %F MM_1993_5_7_a7
M. M. Ad'yutov; Yu. A. Klokov; A. P. Mikhailov; V. V. Stepanova; A. A. Shamray. Similar solutions existence and features for piston problem in gas dynamics. Matematičeskoe modelirovanie, Tome 5 (1993) no. 7, pp. 71-85. http://geodesic.mathdoc.fr/item/MM_1993_5_7_a7/