2021
DOI: 10.1007/s10955-021-02850-x
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Finite Speed of Propagation of the Relativistic Landau and Boltzmann Equations

Abstract: In this paper, we deal with the relativistic Landau and Boltzmann equations in the whole space R 3 under the closed to equilibrium setting. We recognize the finite speed of propagation of the solution which was constructed by Yang and Yu (J Differ Equ 248:1518-1560, 2010. Moreover, the propagation speed can be as close as we want to the maximum speed of the transport part of the kinetic equation.

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Cited by 2 publications
(1 citation statement)
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“…For the investigation of the relativistic Landau/Fokker-Planck equation (including physical models and global well-posedness), we refer to Danielewicz [9], Hsiao-Yu [25], Lemou [34], Luo-Yu [37], Lyu-Sun-Wu [38], Strain-Tasković [46] and Yang-Yu [50]. We also mention the recent works about the relativistic Boltzmann equation without angular cutoff in Jang-Strain [30,29].…”
Section: Background and Literature Reviewmentioning
confidence: 99%
“…For the investigation of the relativistic Landau/Fokker-Planck equation (including physical models and global well-posedness), we refer to Danielewicz [9], Hsiao-Yu [25], Lemou [34], Luo-Yu [37], Lyu-Sun-Wu [38], Strain-Tasković [46] and Yang-Yu [50]. We also mention the recent works about the relativistic Boltzmann equation without angular cutoff in Jang-Strain [30,29].…”
Section: Background and Literature Reviewmentioning
confidence: 99%