Differential and Integral Equations
- Differential Integral Equations
- Volume 13, Number 4-6 (2000), 567-594.
On a model Boltzmann equation without angular cutoff
A model Boltzmann equation (see formulas (1.1.6) -- (1.1.9) below) without Grad's angular cutoff assumption is considered. One proves: 1) the instantaneous smoothing in both position and velocity variables by the evolution semigroup associated to the Cauchy problem for this model; 2) the derivation of the analogue of the Landau-Fokker-Planck equation in the limit when grazing collisions prevail.
Differential Integral Equations Volume 13, Number 4-6 (2000), 567-594.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 76P05: Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05]
Secondary: 82C40: Kinetic theory of gases
Desvillettes, L.; Golse, F. On a model Boltzmann equation without angular cutoff. Differential Integral Equations 13 (2000), no. 4-6, 567--594. https://projecteuclid.org/euclid.die/1356061239.