Geodesic
Painlev\'e test and a self-similar solution of the kinetic model
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 91-94

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

We study a one-dimensional system of equations for a discrete gas model (McKean system). The McKean system is the Boltzmann kinetic equation of a model one-dimensional gas consisting of two groups of particles. Under certain conditions on a singularity variety, the system passes the Painlevé test. In addition, the kinetic system admits a reduction to a system of ordinary differential equations for which the Painlevé test is performed and it becomes possible to find a solution.
Keywords: Painlevé test, self-similar solution, McKean system. 
@article{INTO_2020_176_a8,
     author = {S. A. Dukhnovskii},
     title = {Painlev\'e test and a self-similar solution of the kinetic model},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {91--94},
     publisher = {mathdoc},
     volume = {176},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_176_a8/}
}
TY  - JOUR
AU  - S. A. Dukhnovskii
TI  - Painlev\'e test and a self-similar solution of the kinetic model
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2020
SP  - 91
EP  - 94
VL  - 176
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2020_176_a8/
LA  - ru
ID  - INTO_2020_176_a8
ER  - 
%0 Journal Article
%A S. A. Dukhnovskii
%T Painlev\'e test and a self-similar solution of the kinetic model
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2020
%P 91-94
%V 176
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2020_176_a8/
%G ru
%F INTO_2020_176_a8
S. A. Dukhnovskii. Painlev\'e test and a self-similar solution of the kinetic model. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 91-94. http://geodesic.mathdoc.fr/item/INTO_2020_176_a8/