Abstract
This paper studies the nonlinear Landau damping on the torus \(\mathbb {T}^3\) for the Vlasov–Poisson system with radiation damping. We show that even under the influence of the radiation damping effects, the plasma still has the remarkable property of Landau damping. The corresponding density and force field decay exponentially fast as time goes to infinity.
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Acknowledgements
The authors would like to warmly thank the anonymous referee for the constructive review and the useful comments that improved the presentation of the results.
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This work is supported by the National Natural Science Foundation of China (Grant No.11871024).
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Z.W. wrote the main manuscript text and conducted most of calculations in the manuscript. X.Z. participated in most of the theoretical analysis and carefully revised the presentation of the manuscript. All authors reviewed the manuscript.
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Communicated by Pierre Degond.
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Wang, Z., Zhang, X. Landau Damping for Vlasov–Poisson System with Radiation Damping on the Torus. J Nonlinear Sci 35, 30 (2025). https://doi.org/10.1007/s00332-024-10126-3
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DOI: https://doi.org/10.1007/s00332-024-10126-3