DOI: https://doi.org/10.30970/jps.18.1901
PARTICLE ACCELERATION AT SHOCKS. STATIONARY SOLUTIONS OF THE KINETIC EQUATION
O. Petruk
Institute for Applied Problems in Mechanics and Mathematics,
3b, Naukova St., Lviv, UA-79060, Ukraine
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Journal of Physical Studies 18(1), Article 1901 [18 pages] (2014)
DOI: https://doi.org/10.30970/jps.18.1901 PARTICLE ACCELERATION AT SHOCKS. STATIONARY SOLUTIONS OF THE KINETIC EQUATIONO. Petruk
Institute for Applied Problems in Mechanics and Mathematics, |
|
The methods of solving the kinetic diffusion-advection equation which describes the acceleration of particles at shocks are reviewed. Stationary solutions of the one-dimentional equation for isotropic distribution function and parallel shocks are presented. An essential property of the results is their non-linear nature is the mutual influence of the accelerated particles and the flow.
PACS number(s): 96.50.Pw, 52.35.Tc