-
1
-
-
0033691480
-
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
-
2
-
-
84990617891
-
Zero relaxation and dissipation limits for hyperbolic conservation laws
-
G.Q. CHEN AND T.-P. LIU, Zero relaxation and dissipation limits for hyperbolic conservation laws, Comm. Pure Appl. Math., 46 (1993), pp. 755-781.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 755-781
-
-
Chen, G.Q.1
Liu, T.-P.2
-
3
-
-
84990689276
-
Hyperbolic conservation laws with stiff relaxation terms and entropy
-
G.-Q. CHEN, C.D. LEVERMORE, AND T.-P. LIU, Hyperbolic conservation laws with stiff relaxation terms and entropy, Comm. Pure Appl. Math., 47 (1994), pp. 787-830.
-
(1994)
Comm. Pure Appl. Math.
, vol.47
, pp. 787-830
-
-
Chen, G.-Q.1
Levermore, C.D.2
Liu, T.-P.3
-
4
-
-
0029416695
-
Requiem for second-order approximations of traffic flow
-
C. DAGANZO, Requiem for second-order approximations of traffic flow, Transportation Research B, 29 (1995), pp. 277-286.
-
(1995)
Transportation Research B
, vol.29
, pp. 277-286
-
-
Daganzo, C.1
-
5
-
-
84981759861
-
Solutions in the large for nonlinear hyperbolic systems of equations
-
J. GLIMM, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math., 18 (1965), pp. 95-105.
-
(1965)
Comm. Pure Appl. Math.
, vol.18
, pp. 95-105
-
-
Glimm, J.1
-
6
-
-
0000181186
-
A study of traffic capacity, in Highway
-
B. GREENSHIELDS, A study of traffic capacity, in Highway Research Board Proceedings, 14 (1933), pp. 468-477.
-
(1933)
Research Board Proceedings
, vol.14
, pp. 468-477
-
-
Greenshields, B.1
-
7
-
-
0002562202
-
Structure and parameters of clusters in traffic flow
-
B. S. KERNER AND P. KONHAÜSER, Structure and parameters of clusters in traffic flow, Phys. Rev. B, 50 (1994), pp. 54-83.
-
(1994)
Phys. Rev. B
, vol.50
, pp. 54-83
-
-
Kerner, B.S.1
Konhaüser, P.2
-
8
-
-
0001899093
-
Macroscopic freeway model for dense traffic-stop-start waves and incident detection
-
VNU Science Press
-
R. D. KÜHNE, Macroscopic freeway model for dense traffic-stop-start waves and incident detection, in Ninth International Symposium on Transportation and Traffic Theory, VNU Science Press, 1984, pp. 21-42.
-
(1984)
Ninth International Symposium on Transportation and Traffic Theory
, pp. 21-42
-
-
Kühne, R.D.1
-
10
-
-
0002268358
-
Non-linearity stochastics of unstable traffic flow
-
C. F. Daganzo, ed., Elsevier Science Publishers, New York
-
R. D. KÜHNE AND R. BECKSCHULTE, Non-linearity stochastics of unstable traffic flow, in Transportation and Traffic Theory, C. F. Daganzo, ed., Elsevier Science Publishers, New York, 1993, pp. 367-386.
-
(1993)
Transportation and Traffic Theory
, pp. 367-386
-
-
Kühne, R.D.1
Beckschulte, R.2
-
11
-
-
0031581268
-
The zero relaxation limit for the hydrodynamic Whitham traffic flow model
-
C. LATTANZIO AND P. MARCATI, The zero relaxation limit for the hydrodynamic Whitham traffic flow model, J. Differential Equations, 141 (1997), pp. 150-178.
-
(1997)
J. Differential Equations
, vol.141
, pp. 150-178
-
-
Lattanzio, C.1
Marcati, P.2
-
12
-
-
84980077727
-
Hyperbolic systems of conservation laws II
-
P. D. LAX, Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math., 10 (1957), pp. 537-566.
-
(1957)
Comm. Pure Appl. Math.
, vol.10
, pp. 537-566
-
-
Lax, P.D.1
-
14
-
-
0000090588
-
On kinematic waves: II. A theory of traffic flow on long crowded roads
-
M. J. LIGHTHILL AND G. B. WHITHAM, On kinematic waves: II. A theory of traffic flow 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
-
-
0001406099
-
The deterministic version of the Glimm scheme
-
T.-P. LIU, The deterministic version of the Glimm scheme, Comm. Math. Phys., 57 (1977), pp. 135-148.
-
(1977)
Comm. Math. Phys.
, vol.57
, pp. 135-148
-
-
Liu, T.-P.1
-
16
-
-
21544449601
-
Hyperbolic conservation laws with relaxation
-
T.-P. LIU, Hyperbolic conservation laws with relaxation, Comm. Math. Phys., 108 (1987), pp. 153-175.
-
(1987)
Comm. Math. Phys.
, vol.108
, pp. 153-175
-
-
Liu, T.-P.1
-
17
-
-
0034688724
-
Global BV Solutions of p-system with relaxation
-
T. LUO, R. NATALINI, AND T. YANG, Global BV Solutions of p-system with relaxation, J. Differential Equations, 162 (2000), pp. 174-198.
-
(2000)
J. Differential Equations
, vol.162
, pp. 174-198
-
-
Luo, T.1
Natalini, R.2
Yang, T.3
-
19
-
-
0030490070
-
Convergence to equilibrium for the relaxation approximations of conservation laws
-
R. NATALINI, Convergence to equilibrium for the relaxation approximations of conservation laws, Comm. Pure Appl. Math., 49 (1996), pp. 795-823.
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, pp. 795-823
-
-
Natalini, R.1
-
20
-
-
0002957952
-
Models of freeway traffic and control
-
G.A. Bekey, ed., Simulation Councils, La Jolla, CA
-
H. J. PAYNE, Models of freeway traffic and control, in Simulation Councils Proc. Ser.: Mathematical Models of Public Systems, Vol. 1, G.A. Bekey, ed., Simulation Councils, La Jolla, CA, 1971, pp. 51-60.
-
(1971)
Simulation Councils Proc. Ser.: Mathematical Models of Public Systems
, vol.1
, pp. 51-60
-
-
Payne, H.J.1
-
21
-
-
0002842180
-
Shock waves on highway
-
P. I. RICHARDS, Shock waves on highway, Oper. Res., 4 (1956), pp. 42-51.
-
(1956)
Oper. Res.
, vol.4
, pp. 42-51
-
-
Richards, P.I.1
-
22
-
-
0030234441
-
1-880 field experiment: Data-base development and incident delay estimation procedures
-
A. SKABARDONIS, K. PETTY, H. NOEIMI, D. RYDZEWSKI, AND P. VARAIYA, 1-880 field experiment: Data-base development and incident delay estimation procedures, Transportation Research Record, 1554 (1996), pp. 204-212.
-
(1996)
Transportation Research Record
, vol.1554
, pp. 204-212
-
-
Skabardonis, A.1
Petty, K.2
Noeimi, H.3
Rydzewski, D.4
Varaiya, P.5
-
24
-
-
84974746773
-
The instant-response limit in Whitham's nonlinear traffic-flow model: Uniform well-posedness and global existence
-
S. SCHOCHET, The instant-response limit in Whitham's nonlinear traffic-flow model: Uniform well-posedness and global existence, Asymptotic Anal., 1 (1988), pp. 263-282.
-
(1988)
Asymptotic Anal.
, vol.1
, pp. 263-282
-
-
Schochet, S.1
-
25
-
-
0000700777
-
Systems of conservation laws with invariant submanifolds
-
B. TEMPLE, Systems of conservation laws with invariant submanifolds, Trans. Amer. Math. Soc., 280 (1983), pp. 781-795.
-
(1983)
Trans. Amer. Math. Soc.
, vol.280
, pp. 781-795
-
-
Temple, B.1
-
26
-
-
0001784203
-
Viscosity and relaxation approximations for hyperbolic system of conservation laws
-
An Introduction to Recent Development in Theory and Numerics for Conservation Laws, D. Kroener, M. Ohlberger, and C. Rohde, eds., Springer-Verlag, Berlin
-
A. E. TZAVARAS, Viscosity and relaxation approximations for hyperbolic system of conservation laws, in An Introduction to Recent Development in Theory and Numerics for Conservation Laws, D. Kroener, M. Ohlberger, and C. Rohde, eds., Lect. Notes Comput. Sci. Eng. 5, Springer-Verlag, Berlin, 1998, pp. 73-122.
-
(1998)
Lect. Notes Comput. Sci. Eng.
, vol.5
, pp. 73-122
-
-
Tzavaras, A.E.1
-
28
-
-
0032158275
-
A theory of nonequilibrium traffic flow
-
H. M. ZHANG, A theory of nonequilibrium traffic flow, Transportation Research B, 32 (1998), pp. 485-498.
-
(1998)
Transportation Research B
, vol.32
, pp. 485-498
-
-
Zhang, H.M.1
-
29
-
-
0033915554
-
Structural properties of solutions arising from a nonequilibrium traffic flow theory
-
H. M. ZHANG, Structural properties of solutions arising from a nonequilibrium traffic flow theory, Transportation Research B, 34 (2000), pp. 583-603.
-
(2000)
Transportation Research B
, vol.34
, pp. 583-603
-
-
Zhang, H.M.1
|