Newsgroups: sci.physics.plasma
From news@mhafc.production.compuserve.com Mon Jan 22 20:22:52 1996
From: Giulio Occhionero <100425.2727@CompuServe.COM>
Organization: CompuServe, Inc. (1-800-689-0736)
Subject: General method for Boltzmann equation solutions

In my thesis work toward a degree in Nuclear Engineering
I have worked out a general method for finding solutions to
the INTEGRO-DIFFERENTIAL Boltzmann equation by the application
of FUNCTIONAL ANALYSIS concepts.

This method has actually been applied successfully to the
solution of the long standing problem of ELASTIC ISOTROPIC
SCATTERING in a neutron flux.
The result is the exact espression for the evolution in time of
the neutron velocity ditribution.
Then I have exactly solved the equation for BGK scattering in the
presence of an external force. This is an equation in two
variables solvable with these techniques.
Other minor scattering problems have been given an answer by this
OPERATOR approach and I am now working to the construction of a
general scheme of solution building for
MULTI-INTEGRAL-PARTIAL-DERIVATIVE EQUATIONS which represent the
most general case of INTEGRO-DIFFERENTIAL EQUATIONS.....

Giulio Occhionero

PS. If you have a Boltzmann equation and want to know if it is
solvable with my tecniques you can e-mail me specifing your
title, job and field of application of the equation (if not
covered by any secret). I will only answer to qualified people.