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Spectrum of the linearized Vlasov–Poisson equation around steady states from galactic dynamics
Matías Moreno, Paola Rioseco, Hanne Van Den Bosch
Source 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.
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