KIAM Main page Web Library  •  Publication Searh  Русский 
Publication

KIAM Preprint № 30, Moscow, 2019
Authors: Bobylev A.V., Jin-Cheng Jiang, Potapenko I. F.
On the comparison of Boltzmann and Landau collision integrals
Abstract:
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.
Keywords:
Boltzmann collision integral, Landau kinetic equation, delta-kernel
Publication language: english,  pages: 14
Research direction:
Mathematical modelling in actual problems of science and technics
English source text:
Export link to publication in format:   RIS    BibTeX
View statistics (updated once a day)
over the last 30 days — 11 (+8), total hit from 01.09.2019 — 480
About authors:
  • Bobylev Alexander Vasilievich,  alexander.bobylev@kau.seorcid.org/0000-0001-9348-0864KIAM RAS
  • Jin-Cheng Jiang,  jiangjcjhu@gmail.com,  Национальный университет Цинхуа, департамент математики, Хсинчу, Тайвань
  • Potapenko Irina Fedorovna,  firena@yandex.ru;irina@keldysh.ruorcid.org/0000-0002-1313-8709KIAM RAS