Geodesic
Generalized Boltzmann-type equations for aggregation in gases
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 2065-2078

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

The coalescence and fragmentation of particles in a dispersion system are investigated by applying kinetic theory methods, namely, by generalizing the Boltzmann kinetic equation to coalescence and fragmentation processes. Dynamic equations for the particle concentrations in the system are derived using the kinetic equations of motion. For particle coalescence and fragmentation, equations for the particle momentum, coordinate, and mass distribution functions are obtained and the coalescence and fragmentation coefficients are calculated. The equilibrium mass and velocity distribution functions of the particles in the dispersion system are found in the approximation of an active terminal group (Becker–Döring-type equation). The transition to a continuum description is performed. 
@article{ZVMMF_2017_57_12_a8,
     author = {S. Z. Adzhiev and V. V. Vedenyapin and Yu. A. Volkov and I. V. Melikhov},
     title = {Generalized {Boltzmann-type} equations for aggregation in gases},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2065--2078},
     publisher = {mathdoc},
     volume = {57},
     number = {12},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a8/}
}
TY  - JOUR
AU  - S. Z. Adzhiev
AU  - V. V. Vedenyapin
AU  - Yu. A. Volkov
AU  - I. V. Melikhov
TI  - Generalized Boltzmann-type equations for aggregation in gases
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2017
SP  - 2065
EP  - 2078
VL  - 57
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a8/
LA  - ru
ID  - ZVMMF_2017_57_12_a8
ER  - 
%0 Journal Article
%A S. Z. Adzhiev
%A V. V. Vedenyapin
%A Yu. A. Volkov
%A I. V. Melikhov
%T Generalized Boltzmann-type equations for aggregation in gases
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2017
%P 2065-2078
%V 57
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a8/
%G ru
%F ZVMMF_2017_57_12_a8
S. Z. Adzhiev; V. V. Vedenyapin; Yu. A. Volkov; I. V. Melikhov. Generalized Boltzmann-type equations for aggregation in gases. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 2065-2078. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a8/