Analytic solution of the steady-state isotropic boundary value problem of the propagation of galactic cosmic rays in interplanetary space.

Physics

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Cosmic Rays: Propagation, Cosmic Rays: Interplanetary Space

Scientific paper

An analytic solution is obtained for the diffusion-convection equation of the boundary value problem describing the propagation of galactic cosmic rays in the interplanetary space. The problem is solved by representing it in the form of an infinite series in a system of nonorthogonal functions. The coefficients of the solution satisfying the boundary conditions of the problem are determined analytically. The analytic expression of the coefficients makes it possible to express the coefficients of the derivatives in terms of the coefficients of the individual functions. The problem was solved with the assumption of a power-law dependence of the coefficient of diffusion on the heliocentric distance and hardness and also a similar dependence of the solar-wind velocity on distance.

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