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Volumn 30, Issue 4-6, 2005, Pages 663-687

Global existence of classical solutions of the Nordström-Vlasov system in two space dimensions

Author keywords

Classical solutions; Global existence; Nordstr m scalar theory of gravitation; Vlasov equation

Indexed keywords


EID: 23444438380     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-200059271     Document Type: Article
Times cited : (4)

References (21)
  • 1
    • 0038399919 scopus 로고    scopus 로고
    • Spherically symmetric steady states of galactic dynamics in scalar gravity
    • Calogero, S. (2003). Spherically symmetric steady states of galactic dynamics in scalar gravity. Class. Quant. Gravity 20:1729-1741.
    • (2003) Class. Quant. Gravity , vol.20 , pp. 1729-1741
    • Calogero, S.1
  • 2
    • 11044228715 scopus 로고    scopus 로고
    • Global small solutions of the Vlasov-Maxwell system in the absence of incoming radiation
    • Calogero, S. (2004). Global small solutions of the Vlasov-Maxwell system in the absence of incoming radiation. Indiana Univ. Math. J. 53(5):1331-1364.
    • (2004) Indiana Univ. Math. J. , vol.53 , Issue.5 , pp. 1331-1364
    • Calogero, S.1
  • 3
    • 0344927152 scopus 로고    scopus 로고
    • On classical solutions of the Nordström-Vlasov system
    • Calogero, S., Rein, G. (2003). On classical solutions of the Nordström-Vlasov system. Comm. Partial Diff. Eqs. 28:1863-1885.
    • (2003) Comm. Partial Diff. Eqs. , vol.28 , pp. 1863-1885
    • Calogero, S.1    Rein, G.2
  • 4
    • 18844422652 scopus 로고    scopus 로고
    • The non-relativistic limit of the Nordström-Vlasov system
    • Calogero, S., Lee, H. (2004). The non-relativistic limit of the Nordström-Vlasov system. Comm. Math. Sci. 2:19-34.
    • (2004) Comm. Math. Sci. , vol.2 , pp. 19-34
    • Calogero, S.1    Lee, H.2
  • 5
    • 4344598527 scopus 로고    scopus 로고
    • Global weak solutions to the Nordström-Vlasov system
    • Calogero, S., Rein, G. (2004). Global weak solutions to the Nordström-Vlasov system. J. Diff. Eqns. 204(2):323-338.
    • (2004) J. Diff. Eqns. , vol.204 , Issue.2 , pp. 323-338
    • Calogero, S.1    Rein, G.2
  • 6
    • 84990553444 scopus 로고
    • Global weak solutions of Vlasov-Maxwell systems
    • DiPerna, R., Lions, R. J. (1989). Global weak solutions of Vlasov-Maxwell systems. Comm. Pure Appl. Math. 42(6):729-757.
    • (1989) Comm. Pure Appl. Math. , vol.42 , Issue.6 , pp. 729-757
    • DiPerna, R.1    Lions, R.J.2
  • 7
    • 84974600996 scopus 로고
    • Die nordströmsche gravitationstheorie vom Standpunkt des absoluten differentialkalküls
    • Einstein, A., Fokker, A. D. (1914). Die nordströmsche gravitationstheorie vom Standpunkt des absoluten differentialkalküls. Ann. Physik 44:321-328.
    • (1914) Ann. Physik , vol.44 , pp. 321-328
    • Einstein, A.1    Fokker, A.D.2
  • 8
    • 34250124626 scopus 로고
    • Singularity formation in a collisionless plasma could occur only at high velocities
    • Glassey, R., Strauss, W. (1986). Singularity formation in a collisionless plasma could occur only at high velocities. Arch. Rational Mech. Anal. 92:59-90.
    • (1986) Arch. Rational Mech. Anal. , vol.92 , pp. 59-90
    • Glassey, R.1    Strauss, W.2
  • 9
    • 0001882025 scopus 로고
    • Absence of shocks in an initially dilute collisionless plasma
    • Glassey, R., Strauss, W. (1987). Absence of shocks in an initially dilute collisionless plasma. Comm. Math. Phys. 113:191-208.
    • (1987) Comm. Math. Phys. , vol.113 , pp. 191-208
    • Glassey, R.1    Strauss, W.2
  • 10
    • 0001870782 scopus 로고
    • Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
    • Glassey, R., Schaeffer, J. (1988). Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data. Comm. Math. Phys. 119:353-384.
    • (1988) Comm. Math. Phys. , vol.119 , pp. 353-384
    • Glassey, R.1    Schaeffer, J.2
  • 11
    • 0031138746 scopus 로고    scopus 로고
    • The "two and one-half dimensional" relativistic Vlasov-Maxwell system
    • Glassey, R., Schaeffer, J. (1997). The "two and one-half dimensional" relativistic Vlasov-Maxwell system. Comm. Math. Phys. 185:257-284.
    • (1997) Comm. Math. Phys. , vol.185 , pp. 257-284
    • Glassey, R.1    Schaeffer, J.2
  • 12
    • 0032381779 scopus 로고    scopus 로고
    • The relativistic Vlasov-Maxwell system in two space dimensions, Part I
    • Glassey, R., Schaeffer, J. (1998a). The relativistic Vlasov-Maxwell system in two space dimensions, Part I. Arch. Rational Mech. Anal. 141:331-354.
    • (1998) Arch. Rational Mech. Anal. , vol.141 , pp. 331-354
    • Glassey, R.1    Schaeffer, J.2
  • 13
    • 0032366147 scopus 로고    scopus 로고
    • The relativistic Vlasov-Maxwell system in two space dimensions, Part II
    • Glassey, R., Schaeffer, J. (1998b). The relativistic Vlasov-Maxwell system in two space dimensions, Part II. Arch. Rational Mech. Anal. 141:335-374.
    • (1998) Arch. Rational Mech. Anal. , vol.141 , pp. 335-374
    • Glassey, R.1    Schaeffer, J.2
  • 14
    • 0742304522 scopus 로고    scopus 로고
    • The classical limit of the relativistic Vlasov-Maxwell system in two space dimensions
    • Lee, H. (2004). The classical limit of the relativistic Vlasov-Maxwell system in two space dimensions. Math. Methods Appl. Sci. 27:249-287.
    • (2004) Math. Methods Appl. Sci. , vol.27 , pp. 249-287
    • Lee, H.1
  • 15
    • 0001515315 scopus 로고
    • Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system
    • Lions, P.-L., Perthame, B. (1991). Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system. Invent. Math. 105:415-430.
    • (1991) Invent. Math. , vol.105 , pp. 415-430
    • Lions, P.-L.1    Perthame, B.2
  • 16
    • 84979128125 scopus 로고
    • Zur theorie der gravitation vom Standpunkt des relativitätsprinzips
    • Nordström, G. (1913). Zur theorie der gravitation vom Standpunkt des relativitätsprinzips. Ann. Phys. Lpz. 42:533.
    • (1913) Ann. Phys. Lpz. , vol.42 , pp. 533
    • Nordström, G.1
  • 17
    • 44049119012 scopus 로고
    • Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
    • Pfaffelmoser, K. (1992). Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data. J. Diff. Eqns. 95:281-303.
    • (1992) J. Diff. Eqns. , vol.95 , pp. 281-303
    • Pfaffelmoser, K.1
  • 18
    • 0037484825 scopus 로고
    • Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics
    • Rein, G. (1990). Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics. Comm. Math. Phys. 135:41-78.
    • (1990) Comm. Math. Phys. , vol.135 , pp. 41-78
    • Rein, G.1
  • 19
    • 0007291619 scopus 로고    scopus 로고
    • Self gravitating systems in Newtonian theory - The Vlasov-Poisson system
    • Rein, G. (1997). Self gravitating systems in Newtonian theory - the Vlasov-Poisson system. Banach Center Publications 41 (Part I): 179-194.
    • (1997) Banach Center Publications , vol.41 , Issue.1 PART , pp. 179-194
    • Rein, G.1
  • 20
    • 21144470900 scopus 로고
    • Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data
    • Rein, G., Rendall, A. D. (1992). Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data. Comm. Math. Phys. 150:561-583.
    • (1992) Comm. Math. Phys. , vol.150 , pp. 561-583
    • Rein, G.1    Rendall, A.D.2
  • 21
    • 0001072016 scopus 로고
    • Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions
    • Schaeffer, J. (1991). Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions. Comm. Partial Diff. Eqs. 16:1313-1335.
    • (1991) Comm. Partial Diff. Eqs. , vol.16 , pp. 1313-1335
    • Schaeffer, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.