Bounds on the Aspect Ratio of the Momentum Support of a 2D Collisionless Plasma

TL;DR

This paper establishes bounds on the momentum support of a 2D collisionless plasma described by the Vlasov-Maxwell system, linking the support in one direction to the orthogonal direction, advancing understanding of plasma behavior.

Contribution

It provides new bounds on the momentum support in one direction based on the support in the orthogonal direction for the 2D relativistic Vlasov-Maxwell system.

Findings

Bounds on the momentum support magnitude in one direction depend on the orthogonal support.

The results improve understanding of plasma dynamics in the 2D relativistic setting.

The work extends previous global well-posedness results by providing quantitative bounds.

Abstract

The relativistic Vlasov-Maxwell system is a kinetic model for collisionless plasmas. For the two-dimensional model, global well-posedness of this model is known and was proven by deriving global bounds on the momentum support of the particle density function. In this paper, we prove bounds on the magnitude of the momentum support in one direction depending on the magnitude of the support in the corresponding orthogonal direction.