Symmetries, the~current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model
Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 3, pp. 350-359
Voir la notice de l'article provenant de la source Math-Net.Ru
We investigate the Broadwell stationary kinetic model for four velocities on a plane using the current function that satisfies a partial differential equation. For this equation, we evaluate the algebras of classical and nonclassical symmetries and then construct invariant solutions. All classes of solutions describe nonpotential flows. We consider the relation between nonclassical symmetries and previously obtained solutions.
Keywords:
Broadwell kinetic model, current function, symmetry.
@article{TMF_2014_179_3_a3,
author = {O. V. Ilyin},
title = {Symmetries, the~current function, and exact solutions for {Broadwell's} two-dimensional stationary kinetic model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {350--359},
publisher = {mathdoc},
volume = {179},
number = {3},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a3/}
}
TY - JOUR AU - O. V. Ilyin TI - Symmetries, the~current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2014 SP - 350 EP - 359 VL - 179 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a3/ LA - ru ID - TMF_2014_179_3_a3 ER -
%0 Journal Article %A O. V. Ilyin %T Symmetries, the~current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model %J Teoretičeskaâ i matematičeskaâ fizika %D 2014 %P 350-359 %V 179 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a3/ %G ru %F TMF_2014_179_3_a3
O. V. Ilyin. Symmetries, the~current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model. Teoretičeskaâ i matematičeskaâ fizika, Tome 179 (2014) no. 3, pp. 350-359. http://geodesic.mathdoc.fr/item/TMF_2014_179_3_a3/