Accession Number : AD0419997

Title :   BOLTZMANN EQUATION FOR HARD SPHERES IN DIFFERENTIAL FORM,

Corporate Author : GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV

Personal Author(s) : Wachman,M.

Report Date : OCT 1963

Pagination or Media Count : 13

Abstract : It is shown that it is possible to recast the Boltzmann Integro-differential equation for hard spheres into a pair of linear partial differential equations of first and eighth orders respectively. The eighth order equation is shown to be the nine-dimensional Laplacian four times repeated. The first order equation is the familiar d/dt f with a different forcing function on the right hand side. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, MOLECULES), (*INTEGRALS, DIFFERENTIAL EQUATIONS), PARTIAL DIFFERENTIAL EQUATIONS, OPERATORS (MATHEMATICS), SPECIAL FUNCTIONS (MATHEMATICAL), VECTOR ANALYSIS, PARTICLES, FUNCTIONS(MATHEMATICS), SEQUENCES(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE