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Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics

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arxiv 2305.05749 v4 pith:PJZKOPJQ submitted 2023-05-09 math-ph astro-ph.GAmath.APmath.MPmath.SP

Matias Moreno , Paola Rioseco , Hanne Van Den Bosch This is my paper · ORCID
classification math-phastro-ph.GAmath.APmath.MPmath.SP
keywords aroundcontinuousequationlinearizedspectrumstatessteadyabsolutely
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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.

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  1. Galaxy dynamics, gravitational Vlasov-Poisson system, Landau damping, and scattering theory

    math.AP 2025-01 conditional novelty 6.0 of 10

    The paper constructs a complete stationary scattering theory for the Antonov operator of the plane-symmetric gravitational Vlasov-Poisson system and proves strong gravitational Landau damping for a class of initial data.

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