메뉴 건너뛰기




Volumn 24, Issue 5, 2011, Pages 672-678

Asymptotic limits of a discrete Kinetic Theory model of vehicular traffic

Author keywords

Asymptotic limit; Kinetic Theory; Macroscopic equations; Traffic flow modelling

Indexed keywords

ASYMPTOTIC LIMITS; DISCRETE KINETIC THEORY; KINETIC MODELS; MACROSCOPIC EQUATIONS; MACROSCOPIC MODEL; MICROSCOPIC INTERACTION; SECOND ORDERS; TRAFFIC FLOW MODELLING; VEHICULAR TRAFFIC;

EID: 79551486464     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2010.12.004     Document Type: Article
Times cited : (26)

References (18)
  • 1
    • 0036951683 scopus 로고    scopus 로고
    • On the mathematical theory of vehicular traffic flow Ifluid dynamic and kinetic modeling
    • N. Bellomo, M. Delitala, and V. Coscia On the mathematical theory of vehicular traffic flow Ifluid dynamic and kinetic modeling Math. Models Methods Appl. Sci. 12 2002 1801 1843
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , pp. 1801-1843
    • Bellomo, N.1    Delitala, M.2    Coscia, V.3
  • 2
    • 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 1067 1141
    • (2001) Rev. Modern Phys. , vol.73 , pp. 1067-1141
    • Helbing, D.1
  • 4
    • 3643096762 scopus 로고    scopus 로고
    • Gas-kinetic derivation of NavierStokes-like traffic equations
    • D. Helbing Gas-kinetic derivation of NavierStokes-like traffic equations Phys. Rev. E 53 1996 2366 2381
    • (1996) Phys. Rev. e , vol.53 , pp. 2366-2381
    • Helbing, D.1
  • 5
    • 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 1749 1766
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1749-1766
    • Klar, A.1    Wegener, R.2
  • 7
    • 0036706213 scopus 로고    scopus 로고
    • Derivation of continuum traffic flow models from microscopic follow-the-leader models
    • A. Aw, A. Klar, T. Materne, and M. Rascle Derivation of continuum traffic flow models from microscopic follow-the-leader models SIAM J. Appl. Math. 63 2002 259 278
    • (2002) SIAM J. Appl. Math. , vol.63 , pp. 259-278
    • Aw, A.1    Klar, A.2    Materne, T.3    Rascle, M.4
  • 8
    • 67650269418 scopus 로고    scopus 로고
    • Derivation of non-local macroscopic traffic equations and consistent traffic pressures from microscopic car-following models
    • D. Helbing Derivation of non-local macroscopic traffic equations and consistent traffic pressures from microscopic car-following models Eur. Phys. J. B 69 2009 539 548
    • (2009) Eur. Phys. J. B , vol.69 , pp. 539-548
    • Helbing, D.1
  • 9
    • 34249789588 scopus 로고    scopus 로고
    • Mathematical modeling of vehicular traffic: A discrete kinetic approach
    • M. Delitala, and A. Tosin Mathematical modeling of vehicular traffic: a discrete kinetic approach Math. Models Methods Appl. Sci. 17 2007 901 932
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , pp. 901-932
    • Delitala, M.1    Tosin, A.2
  • 10
    • 77956612779 scopus 로고    scopus 로고
    • On the asymptotic analysis of the BGK model toward the incompressible linear NavierStokes equation
    • A. Bellouquid On the asymptotic analysis of the BGK model toward the incompressible linear NavierStokes equation Math. Models Methods Appl. Sci. 20 2010 1299 1318
    • (2010) Math. Models Methods Appl. Sci. , vol.20 , pp. 1299-1318
    • Bellouquid, A.1
  • 11
    • 78049482519 scopus 로고    scopus 로고
    • On the coupling of steady and adaptive velocity grids in vehicular traffic modelling
    • C. Bianca, and V. Coscia On the coupling of steady and adaptive velocity grids in vehicular traffic modelling Appl. Math. Lett. 24 2011 149 155
    • (2011) Appl. Math. Lett. , vol.24 , pp. 149-155
    • Bianca, C.1    Coscia, V.2
  • 12
    • 34249804473 scopus 로고    scopus 로고
    • On the mathematical theory of vehicular traffic flow II. Discrete velocity kinetic models
    • V. Coscia, M. Delitala, and P. Frasca On the mathematical theory of vehicular traffic flow II. Discrete velocity kinetic models Int. J. Nonlinear Mech. 42 2007 411 421
    • (2007) Int. J. Nonlinear Mech. , vol.42 , pp. 411-421
    • Coscia, V.1    Delitala, M.2    Frasca, P.3
  • 13
    • 0018708437 scopus 로고
    • FREFLO: A macroscopic simulation model of freeway traffic
    • H. Payne FREFLO: a macroscopic simulation model of freeway traffic Transport. Res. Rec. 722 1979 68 75
    • (1979) Transport. Res. Rec. , vol.722 , pp. 68-75
    • Payne, H.1
  • 15
    • 0029416695 scopus 로고
    • Requiem for second-order fluid approximation of traffic flow
    • C.F. Daganzo Requiem for second-order fluid approximation of traffic flow Transp. Res. B 29 1995 277 286
    • (1995) Transp. Res. B , vol.29 , pp. 277-286
    • Daganzo, C.F.1
  • 16
    • 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 916 938
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 916-938
    • Aw, A.1    Rascle, M.2
  • 17
    • 0036170488 scopus 로고    scopus 로고
    • An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations
    • M. Gnther, A. Klar, T. Materne, and R. Wegener An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations Math. Comput. Model. 35 2002 591 606
    • (2002) Math. Comput. Model. , vol.35 , pp. 591-606
    • Gnther, M.1    Klar, A.2    Materne, T.3    Wegener, R.4
  • 18
    • 67650224266 scopus 로고    scopus 로고
    • On the controversy around Daganzo's requiem for and AwRascle's resurrection of second-order traffic flow models
    • D. Helbing, and A. Johansson On the controversy around Daganzo's requiem for and AwRascle's resurrection of second-order traffic flow models Eur. Phys. J. B 69 2009 549 562
    • (2009) Eur. Phys. J. B , vol.69 , pp. 549-562
    • Helbing, D.1    Johansson, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.