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• W238862467 abstract "The aim of this article is to propose a mathematical framework giving access to a better understanding of whistler-mode chorus emissions in space plasmas. There is a general agreement that the emissions of whistler waves involve a mechanism of wave-particle interaction that can be described in the framework of the relativistic Vlasov-Maxwell equations. In dimensionless variables, these equations involve a penalized skew-symmetric term where the inhomogeneity of the strong exterior magnetic field $${tilde B_e(x)}$$ plays an essential part. The description of the related phenomena is achieved in two stages. The first is based on a new approach allowing one to extend in longer times the classical insights on fast rotating fluids [Chemin et al. (Mathematical geophysics, volume 32 of Oxford Lecture Series in Mathematics and its Applications. The Clarendon Press Oxford UniversityPress, Oxford, 2006), Cheverry et al. (Duke Math J 161(5):845–892, 2012), Frénod and Sonnendrücker (Math Models Methods Appl Sci 10(4):539–553, 2000), Gallagher and Saint-Raymond (SIAM J Math Anal 36(4):1159–1176, 2005)]; it justifies the existence and the validity of long time gyro-kinetic equations; it furnishes criterions to impose on a magnetic field $${tilde B_e(cdot)}$$ in order to obtain the long time dynamical confinement of plasmas. The second stage is based on a study of oscillatory integrals implying special phases; it deals with the problem of the creation of light inside plasmas." @default.
• W238862467 created "2016-06-24" @default.
• W238862467 creator A5000837161 @default.
• W238862467 date "2015-05-08" @default.
• W238862467 modified "2023-10-15" @default.
• W238862467 title "Can One Hear Whistler Waves?" @default.
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• W238862467 doi "https://doi.org/10.1007/s00220-015-2389-6" @default.
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