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Macroscopic regularity for the relativistic Boltzmann equation with initial singularities

Yan Yong, ,College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China, Weiyuan Zou, ,College of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, China
2019 Kinetic and Related Models  

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In this paper, it is proved that the macroscopic parts of the relativistic Boltzmann equation will be continuous, even though the macroscopic components are discontinuity initially. The Lorentz transformation plays an important role to prove the continuity of nonlinear term.
doi:10.3934/krm.2019036 fatcat:w7txtot2a5hnna4x6zpcu3dmum
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Yan Yong, ,College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China, Weiyuan Zou, ,College of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, China. "Macroscopic regularity for the relativistic Boltzmann equation with initial singularities." Kinetic and Related Models 12.5 (2019) 945-967