PreprintarXiv licencearXiv
Local Propagation of Momentum Moments for the Relativistic Vlasov--Poisson System
Abstract
This paper proves local propagation of momentum moments of order k≥5/2 for the three-dimensional relativistic Vlasov--Poisson system. In the Coulomb case, this improves the previous result which requires integer moments of order k≥3. The proof adapts the critical density method developed in our recent work on the classical Vlasov--Poisson equation. We introduce a weighted kinetic tensor adapted to the relativistic velocity and obtain the critical density estimate. This estimate then allows us to close the moment argument by a short-time bootstrap.
Related
- Moments propagation in the Vlasov equation and application to the Navier-Stokes-Vlasov equations
- Moment Propagation for the Vlasov--Poisson System with Gyroscopic Forces, Velocity Diffusion, and Specular Reflection
- McKean-Vlasov flights without moments: well-posedness, propagation of chaos and a critical threshold for law-dependent jumps
- Global classical solutions of the repulsive relativistic Vlasov--Poisson system
- Pointwise Wave--Damping for Linearized Vlasov--Poisson: Compactly Supported Radial Equilibria and Relativistic Applications
BibTeX
@misc{wang2026local,
title = {{Local Propagation of Momentum Moments for the Relativistic Vlasov--Poisson System}},
author = {Zhaopeng Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07738},
eprint = {2610.07738},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07738},
}
RIS
TY - UNPB
TI - Local Propagation of Momentum Moments for the Relativistic Vlasov--Poisson System
AU - Zhaopeng Wang
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.07738
UR - https://arxiv.org/abs/2610.07738
AB - This paper proves local propagation of momentum moments of order k≥5/2 for the three-dimensional relativistic Vlasov--Poisson system. In the Coulomb case, this improves the previous result which requires integer moments of order k≥3. The proof adapts the critical density method developed in our recent work on the classical Vlasov--Poisson equation. We introduce a weighted kinetic tensor adapted to the relativistic velocity and obtain the critical density estimate. This estimate then allows us to close the moment argument by a short-time bootstrap.
ER -