Geodesic
On a family of steady-state distributions of the Vlasov--Maxwell--Fokker--Planck system
The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 124-131

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A family of distributions in the form of an exponential, which depends on a scalar function is constructed for the steady-state Vlasov–Maxwell–Fokker–Planck system. Through a scalar function defined relevant electromagnetic field. It is shown that solvability of the VMFP system for one-kind distribution function reduces to semilinear elliptic Liouville equation. We present some exact solutions of the last equation.
Mots-clés : Vlasov–Maxwell–Fokker–Planck equation, Liouville equation.
Keywords: steady state solution 
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E. I. Semenov; A. V. Sinitsyn. On a family of steady-state distributions of the Vlasov--Maxwell--Fokker--Planck system. The Bulletin of Irkutsk State University. Series Mathematics, Tome 4 (2011) no. 3, pp. 124-131. http://geodesic.mathdoc.fr/item/IIGUM_2011_4_3_a11/