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Global Solution of the 3D Relativistic Vlasov–Poisson System for a Class of Large Data

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Abstract

For a class of arbitrary large initial data with radial symmetry or cylindrical symmetry, we prove the existence of global solutions for the 3D relativistic Vlasov–Poisson system for the plasma physics case. The compact support assumption is not imposed for both cases. The essential lower bound assumption of the angular momentum in the previous work of Glassey and Schaeffer (Math Methods Appl Sci 24:143–157, 2001) is not imposed on the initial data for the cylindrical symmetry case.

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Funding

The author was supported by NSFC-11801299, NSFC-12141102, and MOST-2020YFA0713003.

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  1. YMSC, Tsinghua University & BIMSA, Beijing, 100084, China

    Xuecheng Wang

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  1. Xuecheng Wang
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Communicated by Isabelle Gallagher.

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Wang, X. Global Solution of the 3D Relativistic Vlasov–Poisson System for a Class of Large Data. J Stat Phys 190, 162 (2023). https://doi.org/10.1007/s10955-023-03178-4

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