A non-relativistic Model of Plasma Physics Containing a Radiation Reaction Term

TL;DR

This paper introduces a modified non-relativistic plasma model that incorporates radiation reaction effects, proving the existence, uniqueness, and regularity of solutions, thus extending classical plasma models to include relativistic damping effects.

Contribution

It develops a non-relativistic plasma model with radiation reaction terms and establishes rigorous mathematical properties of its solutions.

Findings

Proves existence and uniqueness of solutions

Establishes higher regularity results

Extends classical Vlasov-Poisson system analysis

Abstract

While a fully relativistic collisionless plasma is modeled by the Vlasov-Maxwell system a good approximation in the non-relativistic limit is given by the Vlasov-Poisson system. We modify the Vlasov-Poisson system so that damping due to the relativistic effect of radiation reaction is included. We prove the existence and uniqueness as well as the higher regularity of local classical solutions. These theorems also include the higher regularity of classical solutions of the Vlasov-Poisson system depending on the regularity of the initial datum.