Group stratification and exact solutions of the equation of transonic gas motions

SV Golovin�- Journal of applied mechanics and technical physics, 2003 - Springer
Exact solutions of the K�rm�n–Guderley equation that describes spatial gas flows in the
transonic approximation are considered. A group stratification of the equation with respect to�…

On a class of exact particular solutions of the equations of transonic gas flows

BI Zaslavskii, NA Klepikova�- Journal of Applied Mechanics and Technical�…, 1965 - Springer
On a class of exact particular solutions of the equations of transonic gas flows Page 1 42 ZH.
PRIKL. MEKH. I TEK]-IN. FIZ. ON A CLASS OF EXACT PARTICULAR SOLUTIONS OF THE�…

Asymptotic research of transonic gas flows

PA Velmisov, YA Tamarova�- AIP Conference Proceedings, 2017 - pubs.aip.org
The article is dedicated to the development asymptotic theory of gas flowing at speed next to
sound velocity, particularly of gas transonic flows, ie the flows, containing both, subsonic and�…

The properties of asymptotic expansions for the parameters of unsteady transonic flows with axial symmetry

AN Bogdanov, VN Diesperov�- Journal of applied mathematics and�…, 2008 - Elsevier
A modified equation, which refines the model of unsteady transonic flow with axial symmetry,
is proposed, and the following problems are considered: the determination of the wave front�…

Regular submodels of types (1, 2) and (1, 1) of the equations of gas dynamics

AP Chupakhin�- Journal of applied mechanics and technical physics, 1999 - Springer
Partially invariant solutions of types (1, 2) and (1, 1) for gas-dynamic equations are regularly
divided into two classes: for the first class, the invariant independent variable is the time, ie�…

On solvability of a spatial periodic problem for the Lin—Reissner—Tsien equation of transonic gas dynamics.

S Glazatov�- Mathematical Notes, 2010 - search.ebscohost.com
The article presents a numerical solution on spatial periodic problem using Lin-Reissner-
Tsien equation of transonic gas dynamics. It provides a comprehensive process on the�…

Invariant submodels of the model of thermal motion of gas in a rarefied space

YA Chirkunov, EO Pikmullina�- International Journal of Non-Linear�…, 2017 - Elsevier
A model describing the thermal motion of a gas in a rarefied space is investigated. This
model can be used in the study of the motion of gas in outer space, and the processes�…

[CITATION][C] On the theory of transonic flows of a viscous gas

PA Vel'misov, SV Fal'kovich�- Izvestiya Vysshikh Uchebnykh Zavedenii�…, 1974 - mathnet.ru
1. PA Velmisov, Yu. A. Tamarova, EP Semenova,“Asimptoticheskie uravneniya gazovoi
dinamiki: kachestvennyi analiz, postroenie reshenii, prilozheniya”, Materialy IV�…

[CITATION][C] Some exact solutions of the equations of transsonic gas flows

BY Livshits, OS Ryzhov�- Zhurnal Vychislitel'noi Matematiki i�…, 1964 - mathnet.ru
2. PA Velmisov, Yu. A. Tamarova, EP Semenova,“Asimptoticheskie uravneniya gazovoi
dinamiki: kachestvennyi analiz, postroenie reshenii, prilozheniya”, Materialy IV�…

The two-dimensional motions of a gas with a special adiabatic exponent

SV Golovin�- Journal of Applied Mathematics and Mechanics, 2000 - Elsevier
An invariant submodel of the two-dimensional equations of gas dynamics, constructed on an
operator which is a combination of the time-shift, rotation and projective operators, is�…