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Volumn 64, Issue 2, 2004, Pages 468-483

Multivalued fundamental diagrams and stop and go waves for continuum traffic flow equations

Author keywords

Kinetic derivation; Macroscopic equations; Multivalued fundamental diagram; Phase transitions; Stop and go waves; Traffic flow

Indexed keywords

APPROXIMATION THEORY; FLUID DYNAMICS; FUNCTIONS; KINETIC THEORY; MATHEMATICAL MODELS; PHASE TRANSITIONS; PROBABILITY;

EID: 2542422934     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139902404700     Document Type: Article
Times cited : (20)

References (21)
  • 2
    • 0033691480 scopus 로고    scopus 로고
    • Resurrection of "second order" models of traffic flow
    • A. AW AND M. RASCLE, Resurrection of "second order" models of traffic flow, SIAM J. Appl. Math., 60 (2000), pp. 916-938.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 916-938
    • Aw, A.1    Rascle, M.2
  • 3
    • 0029416695 scopus 로고
    • Requiem for second order fluid approximations of traffic flow
    • C. DAGANZO, Requiem for second order fluid approximations of traffic flow, Transportation Res. B, 29B (1995), pp. 277-286.
    • (1995) Transportation Res. B , vol.29 B , pp. 277-286
    • Daganzo, C.1
  • 4
    • 0036306864 scopus 로고    scopus 로고
    • Extensions and amplifications of a traffic model of Aw and Rascle
    • J. M. GREENBERG, Extensions and amplifications of a traffic model of Aw and Rascle, SIAM J. Appl. Math., 62 (2001), pp. 729-745.
    • (2001) SIAM J. Appl. Math. , vol.62 , pp. 729-745
    • Greenberg, J.M.1
  • 6
    • 3643096762 scopus 로고    scopus 로고
    • Gas-kinetic derivation of Navier-Stokes-like traffic equation
    • D. HELBING, Gas-kinetic derivation of Navier-Stokes-like traffic equation, Phys. Rev. E, 53 (1996), pp. 2366-2381.
    • (1996) Phys. Rev. E , vol.53 , pp. 2366-2381
    • Helbing, D.1
  • 7
    • 0035470907 scopus 로고    scopus 로고
    • Traffic and related self-driven many-particle systems
    • D. HELBING, Traffic and related self-driven many-particle systems, Rev. Modern Phys., 73 (2001), pp. 1067-1141
    • (2001) Rev. Modern Phys. , vol.73 , pp. 1067-1141
    • Helbing, D.1
  • 8
    • 85128822610 scopus 로고    scopus 로고
    • Vlasov-Fokker-Planck models for multilane traffic flow
    • R. ILLNER, A. KLAR, AND T. MATERNE, Vlasov-Fokker-Planck models for multilane traffic flow, Comm. Math. Sci., l (2003), pp. 1-12.
    • (2003) Comm. Math. Sci. , vol.1 , pp. 1-12
    • Illner, R.1    Klar, A.2    Materne, T.3
  • 9
    • 84990701264 scopus 로고
    • The relaxation schemes for systems of conservation laws in arbitrary space dimensions
    • S. JIN AND Z. XIN, The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Comm. Pure Appl. Math., 48 (1995), pp. 235-276.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 235-276
    • Jin, S.1    Xin, Z.2
  • 10
    • 0013275973 scopus 로고    scopus 로고
    • Experimental features of self-organization in traffic flow
    • B. KERNER, Experimental features of self-organization in traffic flow, Phys. Rev. Lett., 81 (1998), pp. 3797-3800.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3797-3800
    • Kerner, B.1
  • 11
    • 0033226150 scopus 로고    scopus 로고
    • Congested traffic flow
    • B. KERNER, Congested traffic flow, Transp. Res. Rec., 1678 (1999), pp. 160-165.
    • (1999) Transp. Res. Rec. , vol.1678 , pp. 160-165
    • Kerner, B.1
  • 12
    • 0034616894 scopus 로고    scopus 로고
    • Experimental features of the emergence of moving jams in free traffic flow
    • B. KERNER, Experimental features of the emergence of moving jams in free traffic flow, J. Phys. A, 33 (2000), pp. 221-228.
    • (2000) J. Phys. A , vol.33 , pp. 221-228
    • Kerner, B.1
  • 13
    • 0031116106 scopus 로고    scopus 로고
    • Enskog-like kinetic models for vehicular traffic
    • A. KLAR AND R. WEGENER, Enskog-like kinetic models for vehicular traffic, J. Statist. Phys., 87 (1997), pp. 91-114.
    • (1997) J. Statist. Phys. , vol.87 , pp. 91-114
    • Klar, A.1    Wegener, R.2
  • 14
    • 0342404881 scopus 로고    scopus 로고
    • A hierarchy of models for multilane vehicular traffic I: Modeling
    • A. KLAR AND R. WEGENER, A hierarchy of models for multilane vehicular traffic I: Modeling, SIAM J. Appl. Math., 59 (1998), pp. 983-1001.
    • (1998) SIAM J. Appl. Math. , vol.59 , pp. 983-1001
    • Klar, A.1    Wegener, R.2
  • 15
    • 0033658831 scopus 로고    scopus 로고
    • Kinetic derivation of macroscopic anticipation models for vehicular traffic
    • A. KLAR AND R. WEGENER, Kinetic derivation of macroscopic anticipation models for vehicular traffic, SIAM J. Appl. Math., 60 (2000), pp. 1749-1766.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1749-1766
    • Klar, A.1    Wegener, R.2
  • 16
    • 21844517333 scopus 로고
    • A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
    • P. NELSON, A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions, Transport Theory Statist. Phys., 24 (1995), pp. 383-408.
    • (1995) Transport Theory Statist. Phys. , vol.24 , pp. 383-408
    • Nelson, P.1
  • 17
    • 0032219179 scopus 로고    scopus 로고
    • The Prigogine-Herman kinetic model predicts widely scattered traffic flow data at high concentrations
    • P. NELSON, AND A. SOPASAKIS, The Prigogine-Herman kinetic model predicts widely scattered traffic flow data at high concentrations, Transportation Res. B, 32A (1998), pp. 589-604.
    • (1998) Transportation Res. B , vol.32 A , pp. 589-604
    • Nelson, P.1    Sopasakis, A.2
  • 18
    • 0016543519 scopus 로고
    • On Boltzmann like treatments for traffic flow
    • S. PAVERI-FONTANA, On Boltzmann like treatments for traffic flow, Transportation Res., 9 (1975), pp. 225-235.
    • (1975) Transportation Res. , vol.9 , pp. 225-235
    • Paveri-Fontana, S.1
  • 19
    • 0018708437 scopus 로고
    • FREFLO: A macroscopic simulation model of freeway traffic
    • H. PAYNE, FREFLO: A macroscopic simulation model of freeway traffic, Transportation Res. Record, 722 (1979), pp. 68-75.
    • (1979) Transportation Res. Record , vol.722 , pp. 68-75
    • Payne, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.