The Vlasov-Poisson system with radiation damping on the torus: Propagation of moments and energy dissipation equality
Abstract
This paper studies a Vlasov-Poisson system with radiation damping on the torus $ \mathbb{T}^3 $. Compared to the whole-space case, the lack of dispersion in the periodic setting presents essential difficulties. We establish the global existence of both classical and weak solutions and prove the propagation of velocity moments. Furthermore, by applying velocity averaging lemmas, we establish strong convergence of the macroscopic densities, which is essential for deriving the energy dissipation equality in the weak solution framework.
Fields of Study & Subjects
Gas Dynamics and Kinetic Theory
Navier-Stokes equation solutions
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Kinetic and Related Models
- Volume
- 21
- Issue
- 0
- Pages
- 41–68
- Publication date
- 1 January 2026