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Volumn 36, Issue 6, 2005, Pages 1862-1886

Traffic flow on a road network

Author keywords

Scalar conservation laws; Traffic flow

Indexed keywords

FLUID DYNAMICS; MATHEMATICAL MODELS; MOTOR TRANSPORTATION; TRAFFIC CONTROL;

EID: 27844496082     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141004402683     Document Type: Article
Times cited : (331)

References (17)
  • 1
    • 0002709803 scopus 로고    scopus 로고
    • Initial-boundary value problems for systems of conservation laws
    • D. AMADORI, Initial-boundary value problems for systems of conservation laws, NoDEA Non-linear Differential Equations Appl., 4 (1997), pp. 1-42.
    • (1997) NoDEA Non-linear Differential Equations Appl. , vol.4 , pp. 1-42
    • Amadori, D.1
  • 2
    • 0033101711 scopus 로고    scopus 로고
    • Scalar non-linear conservation laws with integrable boundary data
    • F. ANCONA AND A. MARSON, Scalar non-linear conservation laws with integrable boundary data, Nonlinear Anal., 35 (1999), pp. 687-710.
    • (1999) Nonlinear Anal. , vol.35 , pp. 687-710
    • Ancona, F.1    Marson, A.2
  • 3
    • 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
  • 6
    • 0006338644 scopus 로고    scopus 로고
    • Well-posedness of the cauchy problem for n × n systems of conservation law
    • AMS, Providence, RI
    • A. BRESSAN, G. CRASTA, AND B. PICCOLI, Well-posedness of the Cauchy Problem for n × n Systems of Conservation Law, Mem. Amer. Math. Soc. 146, no. 694, AMS, Providence, RI, 2000.
    • (2000) Mem. Amer. Math. Soc. , vol.146 , Issue.694
    • Bressan, A.1    Crasta, G.2    Piccoli, B.3
  • 7
    • 0000144038 scopus 로고
    • A variational calculus for discontinuous solutions of systems of conservation laws
    • A. BRESSAN AND A. MARSON, A variational calculus for discontinuous solutions of systems of conservation laws, Comm. Partial Differential Equations, 20 (1995), pp. 1491-1552.
    • (1995) Comm. Partial Differential Equations , vol.20 , pp. 1491-1552
    • Bressan, A.1    Marson, A.2
  • 8
    • 0038443911 scopus 로고    scopus 로고
    • Hyperbolic phase transitions in traffic flow
    • R. M. COLOMBO, Hyperbolic phase transitions in traffic flow, SIAM J. Appl. Math., 63 (2002), pp. 708-721.
    • (2002) SIAM J. Appl. Math. , vol.63 , pp. 708-721
    • Colombo, R.M.1
  • 10
    • 0036306864 scopus 로고    scopus 로고
    • Extension and amplifications of a traffic model of Aw and Rascle
    • J. M. GREENBERG, Extension 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
  • 12
    • 0041920783 scopus 로고
    • A mathematical model of traffic flow on a network of unidirectional roads
    • H. HOLDEN AND N. H. RISEBRO, A mathematical model of traffic flow on a network of unidirectional roads, SIAM J. Math. Anal., 26 (1995), pp. 999-1017.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 999-1017
    • Holden, H.1    Risebro, N.H.2
  • 13
    • 0000055941 scopus 로고
    • Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior
    • C. KLINGENBERG AND N. H. RISEBRO, Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior, Comm. Partial Differential Equations, 20 (1995), pp. 1959-1990.
    • (1995) Comm. Partial Differential Equations , vol.20 , pp. 1959-1990
    • Klingenberg, C.1    Risebro, N.H.2
  • 14
    • 0000090588 scopus 로고
    • On kinetic waves. II. Theory of traffic flows on long crowded roads
    • M. J. LIGHTHILL AND G. B. WHITHAM, On kinetic waves. II. Theory of traffic flows on long crowded roads, Proc. Roy. Soc. London Ser. A, 229 (1955), pp. 317-345.
    • (1955) Proc. Roy. Soc. London Ser. A , vol.229 , pp. 317-345
    • Lighthill, M.J.1    Whitham, G.B.2
  • 15
    • 0002842180 scopus 로고
    • Shock waves on the highway
    • P. I. RICHARDS, Shock waves on the highway, Oper. Res., 4 (1956), pp. 42-51.
    • (1956) Oper. Res. , vol.4 , pp. 42-51
    • Richards, P.I.1
  • 16
    • 49049142492 scopus 로고
    • Global solutions of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws
    • B. TEMPLE, Global solutions of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws, Adv. Appl. Math., 3 (1982), pp. 335-375.
    • (1982) Adv. Appl. Math. , vol.3 , pp. 335-375
    • Temple, B.1
  • 17
    • 0035453016 scopus 로고    scopus 로고
    • A difference scheme for conservation laws with a discontinuous flux: The nonconvex case
    • J. D. TOWERS, A difference scheme for conservation laws with a discontinuous flux: The nonconvex case, SIAM J. Numer. Anal., 39 (2001), pp. 1197-1218.
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 1197-1218
    • Towers, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.