Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics
Mathematical Physics
2024-04-15 v4 Astrophysics of Galaxies
Analysis of PDEs
math.MP
Spectral Theory
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 identify the absolutely continuous spectrum and give criteria for the existence of oscillating modes and estimate their number. Our method allows us to take into account an attractive external potential.
Keywords
Cite
@article{arxiv.2305.05749,
title = {Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics},
author = {Matias Moreno and Paola Rioseco and Hanne Van Den Bosch},
journal= {arXiv preprint arXiv:2305.05749},
year = {2024}
}
Comments
23 pages, 3 figures. v4: Introduction improved, references added, typos corrected. The main results are unchanged