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Asymptotic growth bounds for the Vlasov-Poisson system with radiation damping

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Abstract

We consider asymptotic behaviors of the Vlasov-Poisson system with radiation damping in three space dimensions. For any smooth solution with compact support, we prove a sub-linear growth estimate of its velocity support. As a consequence, we derive some new estimates of the charge densities and the electrostatic field in this situation.

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Authors and Affiliations

  1. School of Science, North University of China, Taiyuan, 030051, China

    Yaxian Ma

  2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Xianwen Zhang

Authors
  1. Yaxian Ma
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  2. Xianwen Zhang
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Correspondence to Xianwen Zhang.

Additional information

This work was supported by the National Natural Science Foundation of China (11871024).

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Ma, Y., Zhang, X. Asymptotic growth bounds for the Vlasov-Poisson system with radiation damping. Acta Math Sci 42, 91–104 (2022). https://doi.org/10.1007/s10473-022-0104-1

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  • DOI: https://doi.org/10.1007/s10473-022-0104-1

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