On the Asymptotic Limit of the Three Dimensional Vlasov–Poisson System for Large Magnetic Field: Formal Derivation

Author:

Degond PierreORCID,Filbet Francis

Funder

Engineering and Physical Sciences Research Council

National Science Foundation

Euratom

Royal Society

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference46 articles.

1. Antonsen, T.M., Lane, B.: Kinetic equations for low frequency instabilities in inhomogeneous plasmas. Phys. Fluids 23, 1205–1214 (1980)

2. Arsen’ev, A.A.: Global existence of a weak solution of Vlasov’s system of equations. Zh. vychisl. Mat. i. Mat. Fiz. 15, 136–147 (1975)

3. Bellan, P.M.: Fundamentals of Plasma Physics. Cambridge University Press, Cambridge (2006)

4. Cheverry, Ch.: Can one hear whistler waves? Commun. Math. Phys. 338(2), 641–703 (2015)

5. Degond, P., Hirtsoaga, S., Vignal, M.-H.: The Vlasov model under large magnetic fields in the low-Mach number regime. preprint arXiv:0905.2400 (2009)

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