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KIAM Preprint № 30, Moscow, 2019
Authors: Bobylev A.V., Jin-Cheng Jiang, Potapenko I. F.
On the comparison of Boltzmann and Landau collision integrals
The estimate for the difference of the Landau collision integral and the Boltzmann collision integral with delta-kernel is obtained. The estimate holds in a class of smooth and rapidly decreasing at infinity distribution functions. It is proved in the general case of multicomponent gas mixture. Results can be used for theoretical and numerical problems related to the nonlinear Landau-Fokker-Planck kinetic equation.
Boltzmann collision integral, Landau kinetic equation, delta-kernel
Publication language: english,  pages: 14
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Bobylev Alexander Vasilievich,  KIAM RAS
  • Jin-Cheng Jiang,  ,  Национальный университет Цинхуа, департамент математики, Хсинчу, Тайвань
  • Potapenko Irina Fedorovna, RAS