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pro vyhledávání: '"nonlinear Landau damping"'
This paper investigates nonlinear Landau damping in the 3D Vlasov-Poisson (VP) system. We study the asymptotic stability of the Poisson equilibrium $\mu(v)=\frac{1}{\pi^2(1+|v|^2)^2}$ under small perturbations. Building on the foundational work of Io
Externí odkaz:
http://arxiv.org/abs/2411.18408
We prove nonlinear Landau damping in optimal weighted Gevrey-3 spaces for solutions of the confined Vlasov-Poisson system on $\T^d\times\R^d$ which are small perturbations of homogeneous Penrose-stable equilibria. We also prove the existence of nonli
Externí odkaz:
http://arxiv.org/abs/2405.04473
Autor:
Luo, Yue
We investigate the impact of weak collisions on Landau damping in the Vlasov-Poisson-Fokker-Planck system on a torus, specifically focusing on its proximity to a Maxwellian distribution. In the case where the Gevrey index satisfies $\frac{1}{s}<3$, w
Externí odkaz:
http://arxiv.org/abs/2401.05601
Publikováno v:
A&A, 686 (2024) A165
We employed our recent model of the cosmic-ray (CR) halo to compute the Galactic spectra of stable and unstable secondary nuclei. In this model, confinement of the Galactic CRs is entirely determined by the self-generated Alfvenic turbulence whose sp
Externí odkaz:
http://arxiv.org/abs/2309.04772
Autor:
Zillinger, Christian
In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $\epsilon>0$ and time intervals $(0,\epsilon^{-N})$ one obtains nonlin
Externí odkaz:
http://arxiv.org/abs/2307.14271
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Akademický článek
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We present a nonlinear model of self-consistent Galactic halo, where the processes of cosmic ray (CR) propagation and excitation/damping of MHD waves are included. The MHD-turbulence, which prevents CR escape from the Galaxy, is entirely generated by
Externí odkaz:
http://arxiv.org/abs/2209.12302
Autor:
Senstius, Mads Givskov1 mads.senstius@physics.ox.ac.uk, Freethy, Simon2, Nielsen, Stefan Kragh3, Barnes, Michael1
Publikováno v:
EPJ Web of Conferences. 11/21/2024, Vol. 313, p1-6. 6p.
In this paper, we prove the nonlinear asymptotic stability of the Penrose-stable equilibria among solutions of the $2d$ Vlasov-Poisson system with massless electrons.
Comment: 20 pages. arXiv admin note: text overlap with arXiv:2205.10261
Comment: 20 pages. arXiv admin note: text overlap with arXiv:2205.10261
Externí odkaz:
http://arxiv.org/abs/2206.11744