Global solution of the $3D$ relativistic Vlasov-Maxwell system for the large radial data

TL;DR

This paper proves the global existence of solutions to the 3D relativistic Vlasov-Maxwell system for large, spherically symmetric initial data with polynomial decay, advancing understanding of plasma dynamics.

Contribution

It establishes the first global existence result for large radial data in the 3D relativistic Vlasov-Maxwell system.

Findings

Global solutions exist for large radial data

Solutions are valid for initial data with polynomial decay

Advances understanding of relativistic plasma models

Abstract

We prove global existence of the $3D$ relativistic Vlasov-Maxwell system for a class of arbitrary large regular initial data with spherical symmetry, in which the initial distribution function of particles is assumed to decay fast but polynomially towards infinity.