Abstract
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.
Citation
L. Desvillettes. F. Golse. "On a model Boltzmann equation without angular cutoff." Differential Integral Equations 13 (4-6) 567 - 594, 2000. https://doi.org/10.57262/die/1356061239
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