发表机构
School of Mathematics and Statistics; Beijing Institute of Technology（数学与统计学院; 北京理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明三维等离子体-电荷模型中，任意K>2阶初始有限的能量矩在有界时间内保持有限，无需额外假设，并构造了几乎处处守恒总能量的全局弱解。
AI 中文摘要
本文证明了三维等离子体-电荷模型，即带有移动点电荷的排斥性Vlasov-Poisson系统的能量矩传播性质。对于任意\(K>2\)，初始有限的第\(K\)阶能量矩在任何有界时间区间内保持有限，无需任何高阶矩假设、对等离子体质量的小性条件或与点电荷的初始分离条件。所构造的全局弱解在几乎所有时间都守恒总能量。证明依赖于一个关键的时空密度估计以及沿移动电荷对电场的直接控制。
英文摘要
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 \(K\)th 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.
Comments30 pages
