Regularity of weak solutions for the relativistic Vlasov–Klein–Gordon system.
- Resource Type
- Article
- Authors
- Xiao, Meixia
- Source
- Applicable Analysis. Jan2024, Vol. 103 Issue 1, p281-295. 15p.
- Subject
- *VLASOV equation
*SINE-Gordon equation
*SEPARATION of variables
*DRY friction
- Language
- ISSN
- 0003-6811
This article is devoted to the study of the relativistic Vlasov–Klein–Gordon system in space dimension three. The dynamical model describes a collisionless ensemble of classical particles coupled with a Klein–Gordon field. By combining the Fourier method and smoothing effect of low velocity particles, we prove a higher regularity of the field, which is widely used for the study of Vlasov equation. [ABSTRACT FROM AUTHOR]