Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime

L Andersson; Pieter Blue; Jeremie Joudioux

doi:10.1080/03605302.2017.1422517

Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime

L Andersson, Pieter Blue, Jeremie Joudioux

School of Mathematics

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Abstract / Description of output

This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation.

Original language	English
Pages (from-to)	47-65
Number of pages	18
Journal	Communications in partial differential equations
Volume	43
Issue number	1
Early online date	30 Jan 2018
DOIs	https://doi.org/10.1080/03605302.2017.1422517
Publication status	Published - 2018

Keywords / Materials (for Non-textual outputs)

Vlasov, Kerr black hole

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10.1080/03605302.2017.1422517

vlasov_v2Accepted author manuscript, 378 KBLicence: Creative Commons: Attribution-NonCommercial-ShareAlike (CC BY-NC-SA)

https://arxiv.org/abs/1612.09304Licence: Unspecified
https://www.tandfonline.com/doi/abs/10.1080/03605302.2017.1422517

Pieter Blue
- School of Mathematics - Reader, Head of Theme in Analysis & Probability
Person: Academic: Research Active

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abstract = "This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation.",

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AB - This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation.

KW - Vlasov, Kerr black hole

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DO - 10.1080/03605302.2017.1422517

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Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime

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Pieter Blue

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