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Volumn 185, Issue 2, 1997, Pages 257-284

The "two and one-half dimensional" relativistic Vlasov Maxwell system

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EID: 0031138746     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050090     Document Type: Article
Times cited : (113)

References (30)
  • 1
    • 77957050978 scopus 로고
    • On the Vlasov-Poisson limit of the Vlasov-Maxwell equation
    • Asano, K. and Ukai, S.: On the Vlasov-Poisson Limit of the Vlasov-Maxwell Equation. Patterns and Waves, 369-383 (1986)
    • (1986) Patterns and Waves , pp. 369-383
    • Asano, K.1    Ukai, S.2
  • 2
    • 0038987617 scopus 로고
    • Existence globale des solutions des équations de Vlasov-Poisson relativistes en dimension 3
    • Série I
    • Bardos, C., Degond, P., and Ngoan, H.-T.: Existence Globale des solutions des équations de Vlasov-Poisson relativistes en dimension 3. C. R. Acad. Sei. Paris, t. 310, Série I, No. 6, 265-268 (1985)
    • (1985) C. R. Acad. Sei. Paris , vol.310 , Issue.6 , pp. 265-268
    • Bardos, C.1    Degond, P.2    Ngoan, H.-T.3
  • 3
    • 0000037275 scopus 로고
    • Global symmetric solutions of the initial-value problem of Stellar dynamics
    • Batt, J.: Global Symmetric Solutions of the Initial-Value Problem of Stellar dynamics. J. Diff. Eqns. 25, 342-364 (1977)
    • (1977) J. Diff. Eqns. , vol.25 , pp. 342-364
    • Batt, J.1
  • 4
    • 0000141020 scopus 로고
    • Global classical solutions of the periodic Vlasov-Poisson system
    • Three Dimensions. Serie I
    • Batt, J. and Rein, G.: Global Classical Solutions of the Periodic Vlasov-Poisson System. In: Three Dimensions. C.R. Acad. Sci. Paris, t.313, Serie I, 411-416 (1991)
    • (1991) C.R. Acad. Sci. Paris , vol.313 , pp. 411-416
    • Batt, J.1    Rein, G.2
  • 6
    • 0037484826 scopus 로고
    • On symmetric solutions of the relativistic Vlasov-Poisson system
    • Glassey, R. and Schaeffer, J.: On Symmetric Solutions of the Relativistic Vlasov-Poisson System. Commun. Math. Phys. 101, 459-473 (1985)
    • (1985) Commun. Math. Phys. , vol.101 , pp. 459-473
    • Glassey, R.1    Schaeffer, J.2
  • 7
    • 0039925746 scopus 로고
    • Control of velocities generated in a two-dimensional collisionless plasma with symmetry
    • Glassey, R. and Schaeffer, J.: Control of Velocities Generated in a Two-Dimensional Collisionless Plasma with Symmetry. Trans. Theory and Stat. Phys. 17 (5 & 6), 467-560 (1988)
    • (1988) Trans. Theory and Stat. Phys. , vol.17 , Issue.5-6 , pp. 467-560
    • Glassey, R.1    Schaeffer, J.2
  • 8
    • 0001870782 scopus 로고
    • Global existence of the relativistic Vlasov-Maxwell system with nearly neutral initial data
    • Glassey R. and Schaeffer, J.: Global Existence of the Relativistic Vlasov-Maxwell System with Nearly Neutral Initial Data. Commun. Math. Phys. 119, 353-384 (1988)
    • (1988) Commun. Math. Phys. , vol.119 , pp. 353-384
    • Glassey, R.1    Schaeffer, J.2
  • 9
    • 84988158455 scopus 로고
    • On the 'one and one-half dimensional' relativistic Vlasov-Maxwell system
    • Glassey, R. and Schaeffer, J.: On the 'One and One-Half Dimensional' Relativistic Vlasov-Maxwell System. Math. Meth. Appl. Sci. 13, 169-179 (1990)
    • (1990) Math. Meth. Appl. Sci. , vol.13 , pp. 169-179
    • Glassey, R.1    Schaeffer, J.2
  • 10
    • 85045610074 scopus 로고    scopus 로고
    • The relativistic Vlasov Maxwell system in two space dimensions: Part I
    • Glassey, R. and Schaeffer, J.: The Relativistic Vlasov Maxwell System in Two Space Dimensions: Part I. To appear in Arch. Rat. Mech. Anal.
    • Arch. Rat. Mech. Anal.
    • Glassey, R.1    Schaeffer, J.2
  • 11
    • 85044492398 scopus 로고    scopus 로고
    • The relativistic Vlasov Maxwell system in two space dimensions: Part II
    • Glassey, R. and Schaeffer, J.: The Relativistic Vlasov Maxwell System in Two Space Dimensions: Part II. To appear in Arch. Rat. Mech. Anal.
    • Arch. Rat. Mech. Anal.
    • Glassey, R.1    Schaeffer, J.2
  • 12
    • 34250124626 scopus 로고
    • Singularity formation in a collisonless plasma could occur only at high velocities
    • Glassey, R. and Strauss, W.: Singularity Formation in a Collisonless Plasma Could Occur Only at High Velocities. Arch. Rat. Mech. Anal. 92, 59-90 (1986)
    • (1986) Arch. Rat. Mech. Anal. , vol.92 , pp. 59-90
    • Glassey, R.1    Strauss, W.2
  • 13
    • 0023210259 scopus 로고
    • High velocity particles in a collisionless plasma
    • Glassey, R. and Strauss, W.: High Velocity Particles in a Collisionless Plasma. Math. Meth. Appl. Sci. 9,46-52 (1987)
    • (1987) Math. Meth. Appl. Sci. , vol.9 , pp. 46-52
    • Glassey, R.1    Strauss, W.2
  • 15
    • 0001882025 scopus 로고
    • Absence of shocks in an initially dilute collisionless plasma
    • Glassey, R. and Strauss, W.: Absence of Shocks in an Initially Dilute Collisionless Plasma. Commun. Math. Phys. 113, 191-208 (1987)
    • (1987) Commun. Math. Phys. , vol.113 , pp. 191-208
    • Glassey, R.1    Strauss, W.2
  • 16
    • 0019655802 scopus 로고
    • On the classical solutions of the initial value problem for the unmodified nonlinear Vlasov-equation, parts I and II
    • Horst, E.: On the Classical Solutions of the Initial Value Problem for the Unmodified Nonlinear Vlasov-Equation, Parts I and II. Math. Meth. Appl. Sci. 3, 229-248 (1981) and 4, 19-32 (1982)
    • (1981) Math. Meth. Appl. Sci. , vol.3 , pp. 229-248
    • Horst, E.1
  • 17
    • 0019655802 scopus 로고
    • Horst, E.: On the Classical Solutions of the Initial Value Problem for the Unmodified Nonlinear Vlasov-Equation, Parts I and II. Math. Meth. Appl. Sci. 3, 229-248 (1981) and 4, 19-32 (1982)
    • (1982) Math. Meth. Appl. Sci. , vol.4 , pp. 19-32
  • 19
    • 0003107088 scopus 로고
    • On the asymptotic growth of the solutions of the Vlasov-Poisson system
    • Horst, E.: On the Asymptotic Growth of the Solutions of the Vlasov-Poisson System. Math. Meth. Appl. Sci. 16, 75-85 (1993)
    • (1993) Math. Meth. Appl. Sci. , vol.16 , pp. 75-85
    • Horst, E.1
  • 20
    • 84990553444 scopus 로고
    • Global solutions of Vlasov-Maxwell systems
    • Lions, P. L. and DiPerna, R.: Global Solutions of Vlasov-Maxwell Systems. Comm. Pure Appl. Math. 42, 729-757 (1989)
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 729-757
    • Lions, P.L.1    DiPerna, R.2
  • 21
    • 0001515315 scopus 로고
    • Propagation of moments and regularity for the three dimensional Vlasov-Poisson system
    • Lions, P-L., Perthame, B.: Propagation of Moments and Regularity for the Three Dimensional Vlasov-Poisson System. Invent. Math. 105, 415-430 (1991)
    • (1991) Invent. Math. , vol.105 , pp. 415-430
    • Lions, P.-L.1    Perthame, B.2
  • 22
    • 0019244758 scopus 로고
    • Ein existenzsatz für die Vlasov-Gleichung mit selbstkonsistentem Magnetfeld
    • Neunzert, H. and Petry, K. H.: Ein Existenzsatz für die Vlasov-Gleichung mit selbstkonsistentem Magnetfeld. Math. Meth. Appl. Sci. 2, 429-444 (1980)
    • (1980) Math. Meth. Appl. Sci. , vol.2 , pp. 429-444
    • Neunzert, H.1    Petry, K.H.2
  • 23
    • 44049119012 scopus 로고
    • Global classical solution of the Vlasov-Poisson system in three dimensions for general initial data
    • Pfaffelmoser, K.: Global Classical Solution of the Vlasov-Poisson System in Three Dimensions for General Initial Data. J. Diff. Eqns., 95, No. 2, 281-303 (1992)
    • (1992) J. Diff. Eqns. , vol.95 , Issue.2 , pp. 281-303
    • Pfaffelmoser, K.1
  • 24
    • 0039333402 scopus 로고
    • Global solutions of the two-dimensional relativistic Vlasov-Poisson system
    • Rammaha, M.: Global Solutions of the Two-Dimensional Relativistic Vlasov-Poisson System. Trans. Theory and Stat. Phys. 16, 61-87 (1987)
    • (1987) Trans. Theory and Stat. Phys. , vol.16 , pp. 61-87
    • Rammaha, M.1
  • 25
    • 0037484825 scopus 로고
    • Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics
    • Rein, G.: Generic Global Solutions of the Relativistic Vlasov-Maxwell System of Plasma Physics. Commun. Math. Phys. 135, 41-78 (1990)
    • (1990) Commun. Math. Phys. , vol.135 , pp. 41-78
    • Rein, G.1
  • 26
    • 0007465324 scopus 로고
    • The classical limit of the relativistic Vlasov-Maxwell system
    • Schaeffer, J.: The Classical Limit of the Relativistic Vlasov-Maxwell System. Commun. Math. Phys. 104, 403-421 (1986)
    • (1986) Commun. Math. Phys. , vol.104 , pp. 403-421
    • Schaeffer, J.1
  • 27
    • 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. Comm. in Part. Diff. Eqns. 16 (8 & 9), 1313-1335 (1991)
    • (1991) Comm. in Part. Diff. Eqns. , vol.16 , Issue.8-9 , pp. 1313-1335
    • Schaeffer, J.1
  • 28
    • 84972582450 scopus 로고
    • On classical solutions in the large in time of two-dimensional Vlasov's equation
    • Ukai, S. and Okabe, T.: On Classical Solutions in the Large in Time of Two-Dimensional Vlasov's Equation. Osaka J. Math. 15, 245-261 (1978)
    • (1978) Osaka J. Math. , vol.15 , pp. 245-261
    • Ukai, S.1    Okabe, T.2
  • 29
    • 84990610028 scopus 로고
    • An existence an uniqueness theorem for the Vlasov-Maxwell system
    • Wollman, S.: An Existence an Uniqueness Theorem for the Vlasov-Maxwell System. Comm. Pure Appl. Math. 37, 457-462 (1984)
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 457-462
    • Wollman, S.1
  • 30
    • 84980134145 scopus 로고
    • Global-in-time solutions of the two dimensional Vlasov-Poisson system
    • Wollman, S.: Global-in-Time Solutions of the Two Dimensional Vlasov-Poisson System. Comm. Pure Appl. Math. 33, 173-197 (1980)
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 173-197
    • Wollman, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.