Geodesic
The Vlasov kinetic equation, dynamics of continuum and turbulence
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 3, pp. 489-512

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

We consider a continuum of interacting particles whose evolution is governed by the Vlasov kinetic equation. An infinite sequence of equations of motion for this medium (in the Eulerian description) is derived and its general properties are explored. An important example is a collisionless gas, which exhibits irreversible behavior. Though individual particles interact via a potential, the dynamics of the continuum bears dissipative features. Applicability of the Vlasov equations to the modeling of small-scale turbulence is discussed.
Keywords: kinetic Vlasov's equation, continuum
Mots-clés : Euler's equation, turbulence. 
@article{ND_2010_6_3_a1,
     author = {V. V. Kozlov},
     title = {The {Vlasov} kinetic equation, dynamics of continuum and turbulence},
     journal = {Russian journal of nonlinear dynamics},
     pages = {489--512},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2010_6_3_a1/}
}
TY  - JOUR
AU  - V. V. Kozlov
TI  - The Vlasov kinetic equation, dynamics of continuum and turbulence
JO  - Russian journal of nonlinear dynamics
PY  - 2010
SP  - 489
EP  - 512
VL  - 6
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2010_6_3_a1/
LA  - ru
ID  - ND_2010_6_3_a1
ER  - 
%0 Journal Article
%A V. V. Kozlov
%T The Vlasov kinetic equation, dynamics of continuum and turbulence
%J Russian journal of nonlinear dynamics
%D 2010
%P 489-512
%V 6
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2010_6_3_a1/
%G ru
%F ND_2010_6_3_a1
V. V. Kozlov. The Vlasov kinetic equation, dynamics of continuum and turbulence. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 3, pp. 489-512. http://geodesic.mathdoc.fr/item/ND_2010_6_3_a1/