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Volumn 2004, Issue , 2004, Pages 1-11

On global solutions for the Vlasov-Poisson system

Author keywords

Coulomb potential of interactions; Existence and uniqueness of a solution; Global weak solution; Initial value problem; Vlasov equation

Indexed keywords


EID: 3042647484     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (16)
  • 2
    • 49649145288 scopus 로고
    • Global existence of a weak solution of Vlasov's system of equations
    • Arsen'ev, A. A., Global existence of a weak solution of Vlasov's system of equations, U.S.S.R. Comp. Math. and Math. Phys. 15 (1975), 136-147.
    • (1975) U.S.S.R. Comp. Math. and Math. Phys. , vol.15 , pp. 136-147
    • Arsen'ev, A.A.1
  • 3
    • 0000037275 scopus 로고
    • Global symmetric solutions of the initial value problem in stellar dynamics
    • Batt, J., Global symmetric solutions of the initial value problem in stellar dynamics, J. Diff. Eqns. 25 (1977), 342-364.
    • (1977) J. Diff. Eqns. , vol.25 , pp. 342-364
    • Batt, J.1
  • 4
    • 0000009557 scopus 로고
    • The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles
    • Braun, W. and Hepp, K., The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles, Commun. Math. Phys. 56 (1977), 101-113.
    • (1977) Commun. Math. Phys. , vol.56 , pp. 101-113
    • Braun, W.1    Hepp, K.2
  • 5
    • 84990553444 scopus 로고
    • Global weak solutions of the Vlasov-Maxwell systems
    • DiPerna, R. J. and Lions, P.L., Global weak solutions of the Vlasov-Maxwell systems, Commun. Pure Appl. Math. 42 (1989), 729-757.
    • (1989) Commun. Pure Appl. Math. , vol.42 , pp. 729-757
    • DiPerna, R.J.1    Lions, P.L.2
  • 7
    • 0021303282 scopus 로고
    • Weak solutions of the initial value problem for the unmodified non-linear Vlasov equation
    • Horst, E. and Hunze, R. Weak solutions of the initial value problem for the unmodified non-linear Vlasov equation, Math. Meth. Appl. Sci. 6 (1984), 262-279.
    • (1984) Math. Meth. Appl. Sci. , vol.6 , pp. 262-279
    • Horst, E.1    Hunze, R.2
  • 8
    • 0032073732 scopus 로고    scopus 로고
    • On Vlasov-Manev equations, II: Local existence and uniqueness
    • Illner, R., Victory, H.D., Dukes, P. and Bobylev, A.V., On Vlasov-Manev equations, II: Local existence and uniqueness, J. Statist. Phys. 91 (1998), 625-654.
    • (1998) J. Statist. Phys. , vol.91 , pp. 625-654
    • Illner, R.1    Victory, H.D.2    Dukes, P.3    Bobylev, A.V.4
  • 9
    • 0001515315 scopus 로고
    • Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system
    • Lions, P. L. and Perthame, B., Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Invent. Math. 105 (1991), 415-430.
    • (1991) Invent. Math. , vol.105 , pp. 415-430
    • Lions, P.L.1    Perthame, B.2
  • 10
    • 0001599323 scopus 로고
    • Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case
    • Majda, A. J., Majda, G. and Zheng, Y. Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case, Physica D74 (1994), 268-300.
    • (1994) Physica , vol.D74 , pp. 268-300
    • Majda, A.J.1    Majda, G.2    Zheng, Y.3
  • 12
    • 0002326654 scopus 로고    scopus 로고
    • Unicite de la solution faible a support compact de l'equation de Vlasov-Poisson
    • Ser. I
    • Robert, R. Unicite de la solution faible a support compact de l'equation de Vlasov-Poisson, C. R. Acad. Sci. Paris 324, Ser. I (1997), 873-877.
    • (1997) C. R. Acad. Sci. Paris , vol.324 , pp. 873-877
    • Robert, R.1
  • 13
    • 0001072016 scopus 로고
    • Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions
    • Schaeffer, J., Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions, Commun. Part. Diff. Eqns. 16 (1991), 1313-1335.
    • (1991) Commun. Part. Diff. Eqns. , vol.16 , pp. 1313-1335
    • Schaeffer, J.1
  • 15
    • 0032014737 scopus 로고    scopus 로고
    • On a problem with two-time data for the Vlasov equation
    • Zhidkov, P. E., On a problem with two-time data for the Vlasov equation, Nonlinear Anal.: Theory, Meth. & Appl. 31 (1998), 537-547.
    • (1998) Nonlinear Anal.: Theory, Meth. & Appl. , vol.31 , pp. 537-547
    • Zhidkov, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.