Year: 2026
Type: preprint
Abstract: This paper proves local propagation of momentum moments of order $k\ge5/2$ for the three-dimensional relativistic Vlasov--Poisson system. In the Coulomb case, this improves the previous result which requires integer moments of order $k\ge3$. 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.
Source: arXiv (Cornell University)
Author: Wang, Zhaopeng
Institution: Beijing Institute of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220895025