
Accession Number : AD0778961
Title : Boltzmann Collision Operator with InversePower Intermolecular Potentials.
Descriptive Note : Interim rept.,
Corporate Author : NEW YORK UNIV N Y MAGNETOFLUID DYNAMICS DIV
Personal Author(s) : Pao,Youngping
Report Date : JAN 1974
Pagination or Media Count : 70
Abstract : The report studies the linearized collision operator in the Boltzmann equation with repulsive intermolecular potentials V(r) = a(r sup(alpha)). It is shown that for alpha > 2 the collision operator has a purely discrete spectrum and its eigenfunctions are infinitely differentiable (L sup 2)functions which are complete in (L sup 2). The proof relies on the formalism of pseudodifferential operators. The report contains two parts: Part I deals with the special case of alpha = 4, the Maxwell's molecules, while Part II considers the general case of inversepower potentials with alpha > 2. (Author)
Descriptors : *Particle collisions, *Boltzmann equation, Kinetic theory, Molecules, Partial differential equations, Potential energy, Eigenvectors
Subject Categories : Atomic and Molecular Physics and Spectroscopy
Distribution Statement : APPROVED FOR PUBLIC RELEASE