Geodesic
On self-similar Ovsyannikov's vortex
Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 276-287

Voir la notice de l'article provenant de la source Math-Net.Ru

We study a multidimensional self-similar solution of the dynamic equations of an ideal compressible fluid. The solution describes swirling motions of a gas and is partially invariant with respect to the rotation group extended by dilations. The analysis of the solution reduces to the analysis of the singular points and manifolds of a system of fourth-order ordinary differential equations. We also give an example of a solution that describes the expansion of a swirling gas cloud into vacuum. 
@article{TRSPY_2012_278_a25,
     author = {A. A. Cherevko and A. P. Chupakhin},
     title = {On self-similar {Ovsyannikov's} vortex},
     journal = {Informatics and Automation},
     pages = {276--287},
     publisher = {mathdoc},
     volume = {278},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a25/}
}
TY  - JOUR
AU  - A. A. Cherevko
AU  - A. P. Chupakhin
TI  - On self-similar Ovsyannikov's vortex
JO  - Informatics and Automation
PY  - 2012
SP  - 276
EP  - 287
VL  - 278
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a25/
LA  - ru
ID  - TRSPY_2012_278_a25
ER  - 
%0 Journal Article
%A A. A. Cherevko
%A A. P. Chupakhin
%T On self-similar Ovsyannikov's vortex
%J Informatics and Automation
%D 2012
%P 276-287
%V 278
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a25/
%G ru
%F TRSPY_2012_278_a25
A. A. Cherevko; A. P. Chupakhin. On self-similar Ovsyannikov's vortex. Informatics and Automation, Differential equations and dynamical systems, Tome 278 (2012), pp. 276-287. http://geodesic.mathdoc.fr/item/TRSPY_2012_278_a25/