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Volumn 246, Issue 1, 2009, Pages 408-427

Nonclassical interactions portrait in a macroscopic pedestrian flow model

Author keywords

Macroscopic pedestrian flow models; Nonclassical shocks in conservation laws

Indexed keywords


EID: 55049105473     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2008.03.018     Document Type: Article
Times cited : (18)

References (21)
  • 1
    • 0013333311 scopus 로고    scopus 로고
    • Hyperbolic Systems of Conservation Laws. The One-Dimensional Cauchy Problem
    • Oxford Univ. Press, Oxford The one-dimensional Cauchy problem
    • Bressan A. Hyperbolic Systems of Conservation Laws. The One-Dimensional Cauchy Problem. Oxford Lecture Ser. Math. Appl. vol. 20 (2000), Oxford Univ. Press, Oxford The one-dimensional Cauchy problem
    • (2000) Oxford Lecture Ser. Math. Appl. , vol.20
    • Bressan, A.1
  • 2
    • 55049095760 scopus 로고    scopus 로고
    • The front tracking method for systems of conservation laws
    • Dafermos C.M., and Feireisl E. (Eds), Elsevier
    • Bressan A. The front tracking method for systems of conservation laws. In: Dafermos C.M., and Feireisl E. (Eds). Handbook of Differential Equations; Evolutionary Equations, vol. 1 (2004), Elsevier 87-168
    • (2004) Handbook of Differential Equations; Evolutionary Equations, vol. 1 , pp. 87-168
    • Bressan, A.1
  • 3
    • 41449106745 scopus 로고    scopus 로고
    • Numerical approximation of a macroscopic model of pedestrian flows
    • (electronic)
    • Chalons C. Numerical approximation of a macroscopic model of pedestrian flows. SIAM J. Sci. Comput. 29 2 (2007) 539-555 (electronic)
    • (2007) SIAM J. Sci. Comput. , vol.29 , Issue.2 , pp. 539-555
    • Chalons, C.1
  • 4
    • 84867933774 scopus 로고    scopus 로고
    • Wave front tracking in systems of conservation laws
    • Colombo R.M. Wave front tracking in systems of conservation laws. Appl. Math. 49 6 (2004) 501-537
    • (2004) Appl. Math. , vol.49 , Issue.6 , pp. 501-537
    • Colombo, R.M.1
  • 5
    • 23944512223 scopus 로고    scopus 로고
    • Pedestrian flows and non-classical shocks
    • Colombo R.M., and Rosini M.D. Pedestrian flows and non-classical shocks. Math. Methods Appl. Sci. 28 13 (2005) 1553-1567
    • (2005) Math. Methods Appl. Sci. , vol.28 , Issue.13 , pp. 1553-1567
    • Colombo, R.M.1    Rosini, M.D.2
  • 6
    • 55049102212 scopus 로고    scopus 로고
    • R.M. Colombo, M.D. Rosini, Existence of nonclassical Cauchy problem modeling pedestrian flows, technical report, Brescia Department of Mathematics, 2008
    • R.M. Colombo, M.D. Rosini, Existence of nonclassical Cauchy problem modeling pedestrian flows, technical report, Brescia Department of Mathematics, 2008
  • 7
    • 0013425945 scopus 로고    scopus 로고
    • Hyperbolic Conservation Laws in Continuum Physics
    • Springer-Verlag, Berlin
    • Dafermos C.M. Hyperbolic Conservation Laws in Continuum Physics. Grundlehren Math. Wiss. (Fundamental Principles of Mathematical Sciences) vol. 325 (2000), Springer-Verlag, Berlin
    • (2000) Fundamental Principles of Mathematical Sciences , vol.325
    • Dafermos, C.M.1
  • 8
    • 0029416695 scopus 로고
    • Requiem for high-order fluid approximations of traffic flow
    • Daganzo C.F. Requiem for high-order fluid approximations of traffic flow. Transport. Res. B 29 (August 1995) 277-287
    • (1995) Transport. Res. B , vol.29 , pp. 277-287
    • Daganzo, C.F.1
  • 9
    • 0345412522 scopus 로고    scopus 로고
    • Human waves in stadiums
    • Randomness and complexity. Eilat, 2003
    • Farkas I., Helbing D., and Vicsek T. Human waves in stadiums. Randomness and complexity. Eilat, 2003. Phys. A 330 1-2 (2003) 18-24
    • (2003) Phys. A , vol.330 , Issue.1-2 , pp. 18-24
    • Farkas, I.1    Helbing, D.2    Vicsek, T.3
  • 11
    • 0038340103 scopus 로고    scopus 로고
    • Simulation of pedestrian flows by optimal control and differential games
    • Hoogendoorn S., and Bovy P.H.L. Simulation of pedestrian flows by optimal control and differential games. Optimal Control Appl. Methods 24 3 (2003) 153-172
    • (2003) Optimal Control Appl. Methods , vol.24 , Issue.3 , pp. 153-172
    • Hoogendoorn, S.1    Bovy, P.H.L.2
  • 12
    • 0344272298 scopus 로고    scopus 로고
    • Pedestrian route-choice and activity scheduling theory and models
    • Hoogendoorn S., and Bovy P.H.L. Pedestrian route-choice and activity scheduling theory and models. Transport. Res. B 38 (2004) 169-190
    • (2004) Transport. Res. B , vol.38 , pp. 169-190
    • Hoogendoorn, S.1    Bovy, P.H.L.2
  • 13
    • 0036643318 scopus 로고    scopus 로고
    • A continuum theory for the flow of pedestrians
    • Hughes R.L. A continuum theory for the flow of pedestrians. Transport. Res. B 36 (2002) 507-535
    • (2002) Transport. Res. B , vol.36 , pp. 507-535
    • Hughes, R.L.1
  • 14
    • 0346245136 scopus 로고    scopus 로고
    • The flow of human crowds
    • Annual Reviews, Palo Alto, CA
    • Hughes R.L. The flow of human crowds. Annu. Rev. Fluid Mech. vol. 35 (2003), Annual Reviews, Palo Alto, CA 169-182
    • (2003) Annu. Rev. Fluid Mech. , vol.35 , pp. 169-182
    • Hughes, R.L.1
  • 15
    • 0003906591 scopus 로고    scopus 로고
    • Hyperbolic Systems of Conservation Laws
    • Birkhäuser, Basel The theory of classical and nonclassical shock waves
    • Lefloch P.G. Hyperbolic Systems of Conservation Laws. Lectures Math. ETH Zürich (2002), Birkhäuser, Basel The theory of classical and nonclassical shock waves
    • (2002) Lectures Math. ETH Zürich
    • Lefloch, P.G.1
  • 16
    • 0000090588 scopus 로고
    • On kinematic waves. II. A theory of traffic flow on long crowded roads
    • Lighthill M.J., and Whitham G.B. On kinematic waves. II. A theory of traffic flow on long crowded roads. Proc. R. Soc. Lond. Ser. A. 229 (1955) 317-345
    • (1955) Proc. R. Soc. Lond. Ser. A. , vol.229 , pp. 317-345
    • Lighthill, M.J.1    Whitham, G.B.2
  • 18
    • 0002842180 scopus 로고
    • Shock waves on the highway
    • Richards P.I. Shock waves on the highway. Oper. Res. 4 (1956) 42-51
    • (1956) Oper. Res. , vol.4 , pp. 42-51
    • Richards, P.I.1
  • 19
    • 0035280537 scopus 로고    scopus 로고
    • Scaling behavior of crowd flow outside a hall
    • Tajima Y., and Nagatani T. Scaling behavior of crowd flow outside a hall. Phys. A 292 (2001) 545-554
    • (2001) Phys. A , vol.292 , pp. 545-554
    • Tajima, Y.1    Nagatani, T.2
  • 20
    • 0037445428 scopus 로고    scopus 로고
    • Spatio-temporal distribution of escape time in evacuation process
    • Takimoto K., and Nagatani T. Spatio-temporal distribution of escape time in evacuation process. Phys. A 320 (2003) 611-621
    • (2003) Phys. A , vol.320 , pp. 611-621
    • Takimoto, K.1    Nagatani, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.