The two-dimensional motions of a gas with a special adiabatic exponent (Q2761321)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The two-dimensional motions of a gas with a special adiabatic exponent |
scientific article; zbMATH DE number 1683369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The two-dimensional motions of a gas with a special adiabatic exponent |
scientific article; zbMATH DE number 1683369 |
Statements
18 December 2001
0 references
two-dimensional gas dynamics equations
0 references
submodel analysis
0 references
polytropic gas
0 references
first integral
0 references
group properties
0 references
group analysis method
0 references
self-similar solutions
0 references
expansion of gas into vacuum
0 references
hierarchy of submodels
0 references
second-level submodel
0 references
particle trajectories
0 references
invariance under rotation
0 references
The two-dimensional motions of a gas with a special adiabatic exponent (English)
0 references
The author applies the group analysis method to two-dimensional gas dynamics equations for polytropic gas with adiabatic exponent \(\gamma= 2\) [see \textit{L.~V.~Ovsyannikov}, J. Appl. Math. Mech. 58, No. 4, 601-627 (1994; Zbl 0890.76070)]. The submodel analysis allows to derive the first integrals. The group properties of self-similar solutions are investigated, and examples are given which describe the expansion of a gas into vacuum in an infinite time.
0 references
