Nonlinear Instability of Vlasov--Maxwell Systems in the Classical and Quasineutral Limits

DOI10.1137/15M1028765zbMath1356.35253arXiv1506.08537MaRDI QIDQ2823010

Daniel Han-Kwan, Toan T. Nguyen

Publication date: 6 October 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08537

zbMATH Keywords

classical limitVlasov-Poissonquasineutral limitnonlinear instabilityVlasov-Maxwell

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) PDEs in connection with relativity and gravitational theory (35Q75) Vlasov equations (35Q83)

Related Items

Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates ⋮ Instabilities in the mean field limit ⋮ Ill-posedness of the hydrostatic Euler and singular Vlasov equations ⋮ The non-relativistic limit of the Vlasov-Maxwell system with uniform macroscopic bounds ⋮ Nonlinear instability in Vlasov type equations around rough velocity profiles ⋮ Long time estimates for the Vlasov-Maxwell system in the non-relativistic limit ⋮ Global quasi-neutral limit of Euler-Maxwell systems with velocity dissipation

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