New family of stationary distributions of the two-particle relativistic equations of Vlasov--Maxwell--Fokker--Planck
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 2, pp. 18-30
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We find new family distributions and the corresponding electromagnetic fields for the two-particle relativistic system of Vlasov–Maxwell–Fokker–Planck in the stationary case. In this study the original model has been reduced to a system of two nonlinear elliptic equations and two linear partial differential equations of first order.
Mots-clés :
Vlasov–Maxwell–Fokker–Planck equation, Liouville equation.
Keywords: steady state solution
Keywords: steady state solution
@article{IIGUM_2012_5_2_a1,
author = {E. I. Semenov and A. V. Sinitsyn},
title = {New family of stationary distributions of the two-particle relativistic equations of {Vlasov--Maxwell--Fokker--Planck}},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {18--30},
publisher = {mathdoc},
volume = {5},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2012_5_2_a1/}
}
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E. I. Semenov; A. V. Sinitsyn. New family of stationary distributions of the two-particle relativistic equations of Vlasov--Maxwell--Fokker--Planck. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 2, pp. 18-30. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_2_a1/