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Global Existence Proof for Relativistic Boltzmann Equation with Hard Interactions

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Abstract

By combining the DiPerna and Lions techniques for the nonrelativistic Boltzmann equation and the Dudyński and Ekiel-Jeżewska device of the causality of the relativistic Boltzmann equation, it is shown that there exists a global mild solution to the Cauchy problem for the relativistic Boltzmann equation with the assumptions of the relativistic scattering cross section including some relativistic hard interactions and the initial data satisfying finite mass, energy and entropy. This is in fact an extension of the result of Dudyński and Ekiel-Jeżewska to the case of the relativistic Boltzmann equation with hard interactions.

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Authors and Affiliations

  1. Department of Mathematics, Zhongshan University, Guangzhou, 510275, China

    Zhenglu Jiang

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  1. Zhenglu Jiang
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Correspondence to Zhenglu Jiang.

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This work was supported by NSFC 10271121 and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, the Ministry of Education of China, and sponsored by joint grants of NSFC 10511120278/10611120371 and RFBR 04-02-39026.

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Jiang, Z. Global Existence Proof for Relativistic Boltzmann Equation with Hard Interactions. J Stat Phys 130, 535–544 (2008). https://doi.org/10.1007/s10955-007-9453-3

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  • DOI: https://doi.org/10.1007/s10955-007-9453-3

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