On Problems Solved in a Quasi-Linear Approximation
Abstract
The complete analytic solution of the time-dependent Vlasov–Boltzmann kinetic equation is used to describe selected problems in plasma physics within the framework of the quasi-linear approximation. These problems usually include the relaxation of plasma oscillations and the relaxation of beam instability. Our kinetic equation is a first-order partial differential equation. The method of characteristics allows us to solve it analytically, while fully preserving the entire time dependence. Using the obtained analytic expression for the distribution function, the paper shows that the indicated relaxation processes do not occur in the approximation considered.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Dust and Plasma Wave Phenomena
Magnetic confinement fusion research
Publication details
- Journal / source
- Mathematics
- Volume
- 14
- Issue
- 6
- Pages
- 960–960
- Publication date
- 12 March 2026
- Language
- EN