List of issues > Series «Mathematics». 2011. Vol. 3
On a family of steady-state distributions of the Vlasov-Maxwell- Fokker-Planck system
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.
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