Matthew Hernandez, Neel Patel, Elena Salguero
Published 2024-11-27Version 1
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.
A new continuation criterion for the relativistic Vlasov-Maxwell system
Instabilities of the relativistic Vlasov-Maxwell system on unbounded domains
Global solution of the $3D$ relativistic Vlasov-Maxwell system for the large radial data
![QR code for arXiv:2411.18610 [math.AP]](http://oss.arxitics.com/images/favicon.svg)