"Finite Larmor radius" approximation of the Vlasov equation;Approximation ≪ rayon de Larmor fini ≫ pour l'équation de Vlasov

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 5, 2000, Pages 421-426

  Frénod, Emmanuel ^a   Sonnendrücker, Eric ^b  

^a UNIVERSITÉ DE BRETAGNE SUD   (France)

^b UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17944403243     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00195-6     Document Type: Article

References (13)

1. Allaire G., Homogeneization and two-scale convergence, SIAM J. Math. Anal. XXIII (6) (1992) 1482-1518.
2. Brenier Y., Convergence of the Vlasov-Poisson system to the incompressible Euler equations, Commun. Partial Differ. Eq., (to appear).
3. Frénod E., Hamdache K., Homogeneization of inetic equations ith oscillating pot entials, Proc. Royal Soc. Edinburgh 126A (1996) 1247-1275.
4. Frénod E., Sonnendrücker E., Homogenization of the Vlasov equation and of the Vlasov-Poisson system with a strong external magnetic field, Asymp. Anal. 18 (3/4) (1998) 193-214.
5. Frénod E., Sonnendrücker E., Long time behavior of the Vlasov equation with a strong external magnetic field, Math. Mod. Meth. Appl. Sci. (à paraître).
6. Golse F., Saint-Raymond L., L'approximation centre guide pour l'équation de Vlasov-Poisson, C. R. Acad. Sci. Paris, Série I 328 (10) (1998) 865-870.
7. Golse F., Saint-Raymond L., The Vlasov-Poisson system with strong magnetic field, J. Math. Pures Appl. 78 (1999) 791-817.
8. Grenier E., Oscillatory perturbation of the Navier-Stokes equations, J. Maths. Pures Appl. 76 (1997) 477-498.
9. Grenier E., Pseudo-differential energy estimates of singular perturbations, Commun. Pure Appl. Math. 50 (1997) 821-865.
10. Hansen F., Knorr G., Lynov J., Pécseli H., Juul Rammussen J., A numerical plasma simulation including finite Larmor radius effect to arbitary order, Plasma Phys. and Control. Fusion 31 (2) (1989) 173-183.
11. Jabin P.E., Large time concentrations for solutions to kinetic equations with energy dissipation, Prépulication du LMENS 99-3, École normale supérieure, Paris, 1999.
12. N'Guetseng G., A general convergence result for a functional related to the theory of homogeneization, SIAM J. Math. Anal. 20 (3) (1989) 608-623.
13. Schochet S., Fast singular limit of hyperbolic PDEs, J. Differ. Eq. 114 (1994) 476-512.