Green's function approach to the solution of the time dependent Fokker- Planck equation with an absorbing boundary (Q1116195)

The solution of the time dependent multivelocity Fokker-Planck equation in plane geometry with an absorbing boundary is formulated in terms of the infinite medium Green's function and the boundary distribution. The boundary distribution is to be determined by solving an integral equation. It is shown that the velocity moments such as density, current and energy density, can be expressed in terms of three reduced distributions which depend on the longitudinal velocity component only. Numerical results for monovelocity pulsed and steady sources are presented.