Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime
| Autor: | Lars Andersson, Jérémie Joudioux, Pieter Blue |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Mathematics - Analysis of PDEs Operator (computer programming) 0103 physical sciences FOS: Mathematics Vlasov Kerr black hole 0101 mathematics Mathematical Physics Mathematics Mathematical physics Spacetime Applied Mathematics 010102 general mathematics Vlasov equation Mathematical Physics (math-ph) Wave equation Symmetry (physics) 35Q75 Rotating black hole Homogeneous space 010307 mathematical physics Analysis Analysis of PDEs (math.AP) |
| Zdroj: | Communications in Partial Differential Equations, 43, 47-65 Andersson, L, Blue, P & Joudioux, J 2018, ' Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime ', Communications in partial differential equations, vol. 43, no. 1, pp. 47-65 . https://doi.org/10.1080/03605302.2017.1422517 Communications in Partial Differential Equations Communications in Partial Differential Equations, 43, 1, pp. 47-65 |
| ISSN: | 0360-5302 |
| DOI: | 10.48550/arxiv.1612.09304 |
| Popis: | 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. Comment: 18 pages |
| Databáze: | OpenAIRE |
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