Report
Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics
| العنوان: | Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics |
|---|---|
| المؤلفون: | Moreno, Matias, Rioseco, Paola, Bosch, Hanne Van Den |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Astrophysics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Astrophysics - Astrophysics of Galaxies, Mathematics - Analysis of PDEs, Mathematics - Spectral Theory, 35Q83, 35Q85, 35P15, 70K20 |
| الوصف: | 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. Comment: 23 pages, 3 figures. v4: Introduction improved, references added, typos corrected. The main results are unchanged |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.05749 |
| رقم الانضمام: | edsarx.2305.05749 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |