CAN ONE HEAR WHISTLER WAVES ?

Christophe Cheverry (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

The aim of this article is to provide a mathematical framework giving access to a better understanding of whistler-mode chorus emissions in space plasmas. There is presently a general agreement that the emissions of whistler waves involve a mechanism of wave-particle interaction which can be decribed in the framework of the relativistic Vlasov-Maxwell equations, with a penalized skew-symmetric term where the inhomogeneity of the magnetic eld plays an essential part. The description of the related phenomena is achieved in two stages. The first provides a new approach allowing to extend in longer times the classical insights on fast rotating fluids. The second is based on a study of oscillatory integrals implying special phases.

Mots clés: Rotating fluids; dynamical and hamiltonian systems; non linear geometric optics; WKB calculus; oscillatory integrals; plasma physics; relativistic Vlasov-Maxwell equations; whistler waves.; whistler waves

Domaines: Equations aux dérivées partielles [math.AP]

Christophe Cheverry. CAN ONE HEAR WHISTLER WAVES ?. 2014. ⟨hal-00956458v1⟩