On the linearized relativistic Boltzmann equation |
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| Authors: | Marek Dudyński Maria L Ekiel-Je?ewska |
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| Institution: | (1) Institute for Fundamental Technological Research, Polish Academy of Sciences, ul. Swietokrzyska 21, PL-00-049 Warszawa, Poland;(2) Institute for Theoretical Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, PL-02-668 Warszawa, Poland |
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| Abstract: | The linearized relativistic Boltzmann equation inL
2(r,p) is investigated. The detailed analysis of the collision operatorL is carried out for a wide class of scattering cross sections.L is proved to have a form of the multiplication operatorv(p) plus the compact inL
2(p) perturbationK. The collisional frequencyv(p) is analysed to discriminate between relativistic soft and hard interactions. Finally, the existence and uniqueness of the solution to the linearized relativistic Boltzmann equation is proved. |
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