Mathematics
Scientific paper
Feb 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995kfnt...11...49s&link_type=abstract
Kinematika Fiz. Nebesn. Tel, Tom 11, No. 1, p. 49 - 67
Mathematics
1
Particles: Scattering
Scientific paper
The linearized Boltzmann kinetic equation with a collision integral to describe the particles scattering on heavy immovable scatterers is considered. The source in the right-hand side of the equation is chosen to be an impulsive, point, and isotropic one. At first, the solutions of this equation are obtained using the small collision frequency approximation and the diffusive approximation. Then the exact analytical solution of the transport equation is found. Thus obtained, the Green function is considered in the same approximations. In these limiting cases the exact Green function coincides with the above approximate solutions of the transport equation. Besides, some mathematical relations important for solving the transport equation by the integral transformation method are found and proved. The generalization of the solution has been performed for absorbing and regenerating media.
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