Matematičeskoe modelirovanie, Tome 5 (1993) no. 7, pp. 71-85
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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/
@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
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.
