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Volumn 78, Issue 8, 1999, Pages 791-817

The Vlasov-Poisson system with strong magnetic field

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EID: 0033209561     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(99)00021-5     Document Type: Article
Times cited : (103)

References (20)
  • 1
    • 0000522811 scopus 로고
    • Existence in the large of a weak solution of Vlasov's system of equations
    • 276 (Russian)
    • A.A. Arsen'ev, Existence in the large of a weak solution of Vlasov's system of equations, Ž. Vyčisl. Mat. i Mat. Fiz. 15 (1975) 136-147, 276 (Russian).
    • (1975) Ž. Vyčisl. Mat. i Mat. Fiz. , vol.15 , pp. 136-147
    • Arsen'ev, A.A.1
  • 2
    • 0001323666 scopus 로고
    • Un théorème de compacité
    • J.-P. Aubin, Un théorème de compacité, C. R. Acad. Sci. Paris 256 (1963) 5042-5044.
    • (1963) C. R. Acad. Sci. Paris , vol.256 , pp. 5042-5044
    • Aubin, J.-P.1
  • 3
    • 77957050978 scopus 로고
    • On the Vlasov-Poisson limit of the Vlasov-Maxwell equation. Pattern and waves. Qualitative analysis of nonlinear differential equations
    • K. Asano and S. Ukai, On the Vlasov-Poisson limit of the Vlasov-Maxwell equation. Pattern and waves. Qualitative analysis of nonlinear differential equations, Stud. Math. Appl. 18 (1986) 369-383.
    • (1986) Stud. Math. Appl. , vol.18 , pp. 369-383
    • Asano, K.1    Ukai, S.2
  • 4
    • 84999097745 scopus 로고    scopus 로고
    • Convergence of the Vlasov-Poisson system to the incompressible Euler equations
    • to appear
    • Y. Brenier, Convergence of the Vlasov-Poisson system to the incompressible Euler equations, to appear in Comm. in Partial Diff. Eq.
    • Comm. in Partial Diff. Eq.
    • Brenier, Y.1
  • 6
    • 0022895454 scopus 로고
    • Local existence of solutions of the Vlasov-Maxwell equations and convergence to the Vlasov-Poisson equations for infinite light velocity
    • P. Degond, Local existence of solutions of the Vlasov-Maxwell equations and convergence to the Vlasov-Poisson equations for infinite light velocity, Math. Methods Appl. Sci. 8 (1986) 533-558.
    • (1986) Math. Methods Appl. Sci. , vol.8 , pp. 533-558
    • Degond, P.1
  • 7
    • 0000345720 scopus 로고
    • Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions
    • P. Degond, Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in 1 and 2 space dimensions, Ann. Sci. Ec. Norm. Super., IV. Ser. 19 (1986) 519-542.
    • (1986) Ann. Sci. Ec. Norm. Super., IV. Ser. , vol.19 , pp. 519-542
    • Degond, P.1
  • 8
    • 84968509708 scopus 로고
    • Existence de nappes de tourbillon en dimension deux
    • J.-M. Delort, Existence de nappes de tourbillon en dimension deux, J. Amer. Math. Soc. 4 (3) (1991) 553-586.
    • (1991) J. Amer. Math. Soc. , vol.4 , Issue.3 , pp. 553-586
    • Delort, J.-M.1
  • 9
    • 84990553444 scopus 로고
    • Global weak solutions of Vlasov-Maxwell systems
    • R. DiPerna and P.-L. Lions, Global weak solutions of Vlasov-Maxwell systems, Commun. Pure Appl. Math. 42 (6) (1989) 729-757.
    • (1989) Commun. Pure Appl. Math. , vol.42 , Issue.6 , pp. 729-757
    • DiPerna, R.1    Lions, P.-L.2
  • 10
    • 17544390987 scopus 로고    scopus 로고
    • Homogenization of the Vlasov equation and of the Vlasov-Poisson system with a strong external magnetic field
    • E. Frénod and E. Sonnendrücker, Homogenization of the Vlasov equation and of the Vlasov-Poisson system with a strong external magnetic field, Asympt. Anal. 18 (3-4) (1998) 193-213.
    • (1998) Asympt. Anal. , vol.18 , Issue.3-4 , pp. 193-213
    • Frénod, E.1    Sonnendrücker, E.2
  • 11
    • 85030073809 scopus 로고    scopus 로고
    • Long time behavior of the two-dimensional Vlasov equation with a strong external magnetic field
    • INRIA Lorraine, May
    • E. Frénod and E. Sonnendrücker, Long time behavior of the two-dimensional Vlasov equation with a strong external magnetic field, Report RR-3428, INRIA Lorraine, May 1998.
    • (1998) Report RR-3428
    • Frénod, E.1    Sonnendrücker, E.2
  • 12
    • 0001397083 scopus 로고
    • The guiding center plasma
    • Amer. Math. Soc., Providence, RI
    • H. Grad, The guiding center plasma, in: Proc. Sympos. Appl. Math., Vol. 18, Amer. Math. Soc., Providence, RI, 1967, pp. 162-248.
    • (1967) Proc. Sympos. Appl. Math. , vol.18 , pp. 162-248
    • Grad, H.1
  • 13
    • 0000471060 scopus 로고
    • Résultats récents sur les fluides parfaits incompressibles bidimensionnels
    • d'après J.-Y. Chemin et J.-M. Delort, Astérisque Exp. no. 757, 5
    • P. Gérard, Résultats récents sur les fluides parfaits incompressibles bidimensionnels (d'après J.-Y. Chemin et J.-M. Delort), Séminaire Bourbaki, 1991/92, Astérisque 206 (1992), Exp. no. 757, 5, 411-444.
    • (1992) Séminaire Bourbaki, 1991/92 , vol.206 , pp. 411-444
    • Gerard, P.1
  • 14
    • 0002160154 scopus 로고    scopus 로고
    • L'approximation centre-guide pour l'équation de Vlasov- Poisson 2D
    • F. Golse and L. Saint-Raymond, L'approximation centre-guide pour l'équation de Vlasov-Poisson 2D, C. R. Acad. Sci. Paris, Série I 327 (1998) 865-870.
    • (1998) C. R. Acad. Sci. Paris, Série I , vol.327 , pp. 865-870
    • Golse, F.1    Saint-Raymond, L.2
  • 15
    • 0031503817 scopus 로고    scopus 로고
    • Pseudo-differential energy estimates of singular perturbations
    • E. Grenier, Pseudo-differential energy estimates of singular perturbations, Commun. Pure Appl. Math. 50 (9) (1997) 821-865.
    • (1997) Commun. Pure Appl. Math. , vol.50 , Issue.9 , pp. 821-865
    • Grenier, E.1
  • 19
    • 43949155251 scopus 로고
    • Fast singular limits of hyperbolic PDEs
    • S. Schochet, Fast singular limits of hyperbolic PDEs, J. Differential Equations 114 (2) (1994) 476-512.
    • (1994) J. Differential Equations , vol.114 , Issue.2 , pp. 476-512
    • Schochet, S.1
  • 20
    • 84972582450 scopus 로고
    • On classical solutions in the large in time of two-dimensional Vlasov's equation
    • S. Ukai and T. Okabe, On classical solutions in the large in time of two-dimensional Vlasov's equation, Osaka J. Math. 15 (1978) 245-261.
    • (1978) Osaka J. Math. , vol.15 , pp. 245-261
    • Ukai, S.1    Okabe, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.