On Boltzmann Equation with Cutoff Potentials
- 1 October 1967
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 10 (10) , 2097-2104
- https://doi.org/10.1063/1.1762004
Abstract
After showing that the existence of a cutoff in the two-body interaction follows from consistency in the frame of assumptions upon which the Boltzmann equation is based, the collision operators for such cutoff potentials are studied in detail. It is proved that the essential properties required to build up a rigorous mathematical theory of the linearized Boltzmann equation are possessed by the collision with cutoff potentials. In particular, results of basic importance for existence, uniqueness, and approach to equilibrium are proved.Keywords
This publication has 3 references indexed in Scilit:
- Existence and Uniqueness in the Large for Boundary Value Problems in Kinetic TheoryJournal of Mathematical Physics, 1967
- Asymptotic Theory of the Boltzmann EquationPhysics of Fluids, 1963
- Low-Energy Expansion of Scattering Phase Shifts for Long-Range PotentialsJournal of Mathematical Physics, 1963