|
Matematicheskoe modelirovanie, 1993, Volume 5, Number 7, Pages 71–85
(Mi mm1993)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Computational methods and algorithms
Similar solutions existence and features for piston problem in gas dynamics
M. M. Ad'yutov, Yu. A. Klokova, A. P. Mikhailovb, V. V. Stepanovab, A. A. Shamray a University of Latvia, Institute of Mathematics and Computer Science
b Institute for Mathematical Modelling, Russian Academy of Sciences
Abstract:
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.
Received: 14.05.1993
Citation:
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”, Matem. Mod., 5:7 (1993), 71–85
Linking options:
https://www.mathnet.ru/eng/mm1993 https://www.mathnet.ru/eng/mm/v5/i7/p71
|
Statistics & downloads: |
Abstract page: | 456 | Full-text PDF : | 127 | First page: | 3 |
|