Spectrum of the linearized Vlasov–Poisson equation around steady states from galactic dynamics
Abstract
We study the linearized Vlasov–Poisson equation in the gravitational case around steady states that are decreasing and continuous functions of the energy. We formulate criteria for the existence of oscillating modes and estimate their number. Our method allows us to take into account an attractive external potential.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Gas Dynamics and Kinetic Theory
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Volume
- 67
- Issue
- 9
- Publication date
- 1 September 2026
- Language
- EN