Journal of Mathematical Physics· 2026Q2
Spectrum of the linearized Vlasov–Poisson equation around steady states from galactic dynamics
- 1citations
- Q2SCImago
- 2026year
Short summary
New criteria are formulated to determine the existence and number of oscillating modes in the linearized Vlasov–Poisson equation for galactic dynamics, considering external potentials.
AI-generated from the title and abstract; the full text is not read.
Key points
- Develops criteria for the existence of oscillating modes in the linearized Vlasov–Poisson equation.
- Estimates the number of these oscillating modes.
- The method is applicable to steady states that are continuous and decreasing functions of energy.
- Includes the influence of an attractive external potential.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Journal of Mathematical Physics, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Mathematical Physics
Mathematical PhysicsMathematics