The Bulletin of Irkutsk State University. Series Mathematics
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 The Bulletin of Irkutsk State University. Series Mathematics, 2012, Volume 5, Issue 2, Pages 18–30 (Mi iigum63)

New family of stationary distributions of the two-particle relativistic equations of Vlasov–Maxwell–Fokker–Planck

E. I. Semenova, A. V. Sinitsynb

a Institute for System Dynamics and Control Theory SB RAS, 664033, Irkutsk, Lermontov st. 134
b Universidad Nacional de Colombia, Bogota, Colombia

Abstract: 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.

Keywords: Vlasov–Maxwell–Fokker–Planck equation, steady state solution, Liouville equation.

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UDC: 519.517

Citation: 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, 5:2 (2012), 18–30

Citation in format AMSBIB
\Bibitem{SemSin12} \by E.~I.~Semenov, A.~V.~Sinitsyn \paper New family of stationary distributions of the two-particle relativistic equations of Vlasov--Maxwell--Fokker--Planck \jour The Bulletin of Irkutsk State University. Series Mathematics \yr 2012 \vol 5 \issue 2 \pages 18--30 \mathnet{http://mi.mathnet.ru/iigum63}