20.500.12556/RUL-181223 On problems solved in a quasi-linear approximation 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. quasi-linear theory Vlasov equation plasma oscillations beam instability analytic solution collisionless plasma true false true Angleški jezik Angleški jezik Članek v reviji 2026-03-27 11:18:21 2026-03-27 11:18:25 2026-03-31 03:58:41 0000-00-00 00:00:00 2026 0 0 12 str. no. 6, art. 960 Vol. 14 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51 2227-7390 10.3390/math14060960 272477699 https://www.mdpi.com/2227-7390/14/6/960 1 28877c79-29c6-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=231456 RAZ_Kos_Leon_2026.pdf RAZ_Kos_Leon_2026.pdf 1 D6856BC37CA972F4B697E9DD6B67651C b840e7b3f1e456d529ff8d1bb2d2ef4c37b1f512fd507fded1da6f48d657bc9b 9ae52bd5-29c6-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=231458 Fakulteta za strojništvo 0 0 0