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- Title
HIGH ORDER APPROXIMATION FOR THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF.
- Authors
He, Lingbing; Zhou, Yulong
- Abstract
In order to solve the Boltzmann equation numerically, in the present work, we propose a new model equation to approximate the Boltzmann equation without angular cutoff. Here the approximate equation incorporates Boltzmann collision operator with angular cutoff and the Landau collision operator. As a first step, we prove the well-posedness theory for our approximate equation. Then in the next step we show the error estimate between the solutions to the approximate equation and the original equation. Compared to the standard angular cutoff approximation method, our method results in higher order of accuracy.
- Subjects
BOLTZMANN'S equation; APPROXIMATION theory; LANDAU theory; PLASMA collision processes; OPERATOR theory; ACCURACY
- Publication
Kinetic & Related Models, 2018, Vol 11, Issue 3, p547
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2018024