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

Andersson, L., Blue, P., & Joudioux, J. (2018). Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime. Communications in Partial Differential Equations, 43(1), 47-65. doi:10.1080/03605302.2017.1422517.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-584F-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-5853-D
Genre: Journal Article

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 Creators:
Andersson, Lars1, Author              
Blue, Pieter, Author
Joudioux, Jérémie1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Analysis of PDEs, math.AP,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
 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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 Dates: 2016-12-292017-01-032018
 Publication Status: Published in print
 Pages: 18 pages
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 Rev. Method: -
 Identifiers: arXiv: 1612.09304
URI: http://arxiv.org/abs/1612.09304
DOI: 10.1080/03605302.2017.1422517
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Title: Communications in Partial Differential Equations
Source Genre: Journal
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Pages: - Volume / Issue: 43 (1) Sequence Number: - Start / End Page: 47 - 65 Identifier: -