BOLTZMANN EQUATION FOR HARD SPHERES IN DIFFERENTIAL FORM,

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)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0419997

Entities

People

  • M. Wachman

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Differential Equations
  • Equations
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis