Solutions of the 2D Radially Symmetric Vlasov-Maxwell System with an Initial Focusing Phase

2022/06/18 by Katherine Zhiyuan Zhang, Zhang, Katherine Zhiyuan
Mathematics · #35B40 #35B44 #35Q83 #82D10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2206.09087

openalex publication_date 2022/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study radially symmetric solutions to the 2D Vlasov-Maxwell system and construct solutions that initially possess arbitrarily small C^k norms (k ≥ 1) for the charge densities and the electric fields, but attain arbitrarily large L^∞ norms of them at some later time.

Related

• Focusing Solutions of the Vlasov-Poisson System
• Concentrating solutions of the relativistic Vlasov-Maxwell system
• Focusing solutions of Vlasov-Poisson equation on a spherical shell
• Arbitrarily large solutions of the Vlasov-Poisson system
• Global solution of the 3D relativistic Vlasov-Maxwell system for the large radial data