Homogeneous solution of the Baer~--- Nunziato model
Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 3, pp. 323-328.

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

Explicit form of homogeneous solution is found for the Baer — Nunziato system that modelling dynamics of two-phase medium.
Keywords: two-phase medium, group analysis, invariant solution.
@article{CHFMJ_2017_2_3_a5,
     author = {V. E. Fedorov},
     title = {Homogeneous solution of the {Baer~---} {Nunziato} model},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {323--328},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_3_a5/}
}
TY  - JOUR
AU  - V. E. Fedorov
TI  - Homogeneous solution of the Baer~--- Nunziato model
JO  - Čelâbinskij fiziko-matematičeskij žurnal
PY  - 2017
SP  - 323
EP  - 328
VL  - 2
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_3_a5/
LA  - ru
ID  - CHFMJ_2017_2_3_a5
ER  - 
%0 Journal Article
%A V. E. Fedorov
%T Homogeneous solution of the Baer~--- Nunziato model
%J Čelâbinskij fiziko-matematičeskij žurnal
%D 2017
%P 323-328
%V 2
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_3_a5/
%G ru
%F CHFMJ_2017_2_3_a5
V. E. Fedorov. Homogeneous solution of the Baer~--- Nunziato model. Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 3, pp. 323-328. http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_3_a5/

[1] M. F. Baer, J. Nunziato, “Two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials”, International Journal of Multiphase Flow, 12 (1986), 861–889 | DOI | Zbl

[2] A.A. Zhilin , A.V. Fedorov, “Propagation of shock waves in a two-phase mixture with different pressures of the components”, Journal of Applied Mechanics and Technical Physics, 40:1 (1999), 46–53 | DOI | MR | Zbl

[3] A.A. Zhilin , A.V. Fedorov, “Reflection of a shock wave from a rigid wall in a mixture of a liquid metal and solid particles”, Combustion, Explosion, and Shock Waves, 36:4 (2000), 506–515 | DOI

[4] V.E. Fedorov, N.V. Filin, “Homogeneous solution of two-phase mixture system of equations”, Dynamics of multiphase mediums, proceedings of XIV All-Russian workshop, devoted to 75th anniversary of Academician V.M. Fomin (Novosibirsk, ITAM SB RAS), 2015, 269–271 (In Russ.)

[5] V. E. Fedorov, N. V. Filin, “Invariant and partially invariant submodels of the equations system describing a dynamics of two gases mixture”, Materials Science Forum, 845 (2016), 174–177 | DOI

[6] A.V. Panov, “Group classification of equations system for two-phase medium mechanics”, Bulletin of Chelyabinsk State University, 2011, no. 26, 38–48

[7] L.V. Ovsyannikov, “The "podmodeli" program. Gas dynamics”, Journal of Applied Mathematics and Mechanics, 58:4 (1994), 601–627 | DOI | MR | Zbl