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Propagation of Energy Moments for the Plasma--Charge Model
Abstract
This paper proves propagation of energy moments for the three-dimensional plasma-charge model, namely, the repulsive Vlasov-Poisson system with a moving point charge. For every K>2, an initially finite Kth energy moment remains finite on every bounded time interval, without any higher-order moment assumption, smallness condition on the plasma mass, or initial separation from the point charge. The constructed global weak solution conserves total energy for almost every time. The proof relies on a critical space-time density estimate and a direct control of the electric field along the moving charge.
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BibTeX
@misc{wang2026propagation,
title = {{Propagation of Energy Moments for the Plasma--Charge Model}},
author = {Zhaopeng Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06134},
eprint = {2610.06134},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06134},
}
RIS
TY - UNPB
TI - Propagation of Energy Moments for the Plasma--Charge Model
AU - Zhaopeng Wang
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.06134
UR - https://arxiv.org/abs/2610.06134
AB - This paper proves propagation of energy moments for the three-dimensional plasma-charge model, namely, the repulsive Vlasov-Poisson system with a moving point charge. For every K>2, an initially finite Kth energy moment remains finite on every bounded time interval, without any higher-order moment assumption, smallness condition on the plasma mass, or initial separation from the point charge. The constructed global weak solution conserves total energy for almost every time. The proof relies on a critical space-time density estimate and a direct control of the electric field along the moving charge.
ER -