-
1
-
-
0036706213
-
Derivation of continuum traffic flow models from microscopic follow-the-leader models
-
Aw A., Klar A., Materne A., Rascle M. (2002) Derivation of continuum traffic flow models from microscopic follow-the-leader models. SIAM J. Appl. Math. 63:259-278
-
(2002)
SIAM J. Appl. Math.
, vol.63
, pp. 259-278
-
-
Aw, A.1
Klar, A.2
Materne, A.3
Rascle, M.4
-
2
-
-
0033691480
-
Resurrection of second order models of traffic flow
-
Aw A., Rascle M. (2000) Resurrection of second order models of traffic flow. SIAM J. Appl. Math. 60:916-938
-
(2000)
SIAM J. Appl. Math.
, vol.60
, pp. 916-938
-
-
Aw, A.1
Rascle, M.2
-
3
-
-
0036004639
-
Existence and weak stability for a two-phase model with unilateral constraint
-
Berthelin F. (2002) Existence and weak stability for a two-phase model with unilateral constraint. Math. Models Methods Appl. Sci. 12:249-272
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, pp. 249-272
-
-
Berthelin, F.1
-
4
-
-
0346343168
-
Weak solutions for a hyperbolic systems with unilateral constraint and mass loss
-
Berthelin F., Bouchut F. (2003) Weak solutions for a hyperbolic systems with unilateral constraint and mass loss. Ann. Inst. H. Poincare Anal. Non Linéaire 20:975-997
-
(2003)
Ann. Inst. H. Poincare Anal. Non Linéaire
, vol.20
, pp. 975-997
-
-
Berthelin, F.1
Bouchut, F.2
-
5
-
-
0001230725
-
On zero pressure gas dynamics
-
(Ed. Perthame, B.) World Scientific
-
Bouchut, F.: On zero pressure gas dynamics. In: (Ed. Perthame, B.), Advances in kinetic theory and computing, World Scientific (1994)
-
(1994)
Advances in Kinetic Theory and Computing
-
-
Bouchut, F.1
-
7
-
-
0033482438
-
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
-
Bouchut F., James F. (1999) Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Comm. Partial Differential Equations 24:2173-2189
-
(1999)
Comm. Partial Differential Equations
, vol.24
, pp. 2173-2189
-
-
Bouchut, F.1
James, F.2
-
8
-
-
0001454943
-
Sticky particles and scalar conservation laws
-
Brenier Y., Grenier E. (1998) Sticky particles and scalar conservation laws. SIAM J. Numer. Anal. 35:2317-2328
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2317-2328
-
-
Brenier, Y.1
Grenier, E.2
-
9
-
-
0036170169
-
A 2 × 2 hyperbolic traffic flow model Traffic Hav modelling and simulation
-
Colombo R.M. (2002) A 2 × 2 hyperbolic traffic flow model Traffic Hav modelling and simulation. Math. Comp. Modelling 35:683-688
-
(2002)
Math. Comp. Modelling
, vol.35
, pp. 683-688
-
-
Colombo, R.M.1
-
11
-
-
0029416695
-
Requiem for second order fluid approximations of traffic flow
-
Daganzo C. (1995) Requiem for second order fluid approximations of traffic flow. Transp. Res. B 29B:277-286
-
(1995)
Transp. Res. B
, vol.29
, pp. 277-286
-
-
Daganzo, C.1
-
12
-
-
0001766126
-
Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
-
E. W., Rykov, Y.G., Sinai, Y.G. (1996) Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics. Comm. Math. Phys. 177, 349-380
-
(1996)
Comm. Math. Phys.
, vol.177
, pp. 349-380
-
-
Rykov, Y.G.1
Sinai, Y.G.2
-
13
-
-
0000876232
-
Nonlinear follow-the-leader models of traffic flow
-
Gazis D.C., Herman R., Rothery R. (1961) Nonlinear follow-the-leader models of traffic flow. Oper. Res. 9:545-567
-
(1961)
Oper. Res.
, vol.9
, pp. 545-567
-
-
Gazis, D.C.1
Herman, R.2
Rothery, R.3
-
14
-
-
0000584073
-
Existence globale pour le système des gaz sans pression
-
Grenier E. (1995) Existence globale pour le système des gaz sans pression. C. R. Math. Acad. Sci. Paris 321:171-174
-
(1995)
C. R. Math. Acad. Sci. Paris
, vol.321
, pp. 171-174
-
-
Grenier, E.1
-
15
-
-
34249822898
-
Traffic flow: Models and numerics
-
Birkhäuser, Boston
-
Klar, A., Wegener, R.: Traffic flow: models and numerics. In: Modeling and Computational Methods for Kinetic Equations, Birkhäuser, Boston, 219-259 (2004)
-
(2004)
Modeling and Computational Methods for Kinetic Equations
, pp. 219-259
-
-
Klar, A.1
Wegener, R.2
-
16
-
-
0031116106
-
Enskog-like kinetic models for vehicular traffic
-
Klar A., Wegener R. (1997) Enskog-like kinetic models for vehicular traffic. J. Stat. Phys. 87:91-114
-
(1997)
J. Stat. Phys.
, vol.87
, pp. 91-114
-
-
Klar, A.1
Wegener, R.2
-
17
-
-
0000090588
-
On kinematic waves. I: Flow movement in long rivers. II: A theory of traffic flow on long crowded roads
-
Lighthill, M.J., Whitham, J.B.: On kinematic waves. I: flow movement in long rivers. II: A theory of traffic flow on long crowded roads. Proc. R. Soc. Lond. Sec A 229, Math. Phys. Eng. Sci. 281-345 (1955)
-
(1955)
Proc. R. Soc. Lond. Sec A 229, Math. Phys. Eng. Sci.
, pp. 281-345
-
-
Lighthill, M.J.1
Whitham, J.B.2
-
18
-
-
0001232636
-
A cellular automaton model for freeway traffic
-
Nagel K., Schreckenberg M. (1992) A cellular automaton model for freeway traffic. J. Physique 2:2221-2229
-
(1992)
J. Physique
, vol.2
, pp. 2221-2229
-
-
Nagel, K.1
Schreckenberg, M.2
-
19
-
-
21844517333
-
A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
-
Nelson P. (1995) A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions. Transport. Theory Statist. Phys. 24:383-409
-
(1995)
Transport. Theory Statist. Phys.
, vol.24
, pp. 383-409
-
-
Nelson, P.1
-
20
-
-
0016543519
-
On Boltzmann-like treatments for traffic flow
-
Paveri-Fontana S.L. (1975) On Boltzmann-like treatments for traffic flow. Transportation Res. 9:225-235
-
(1975)
Transportation Res.
, vol.9
, pp. 225-235
-
-
Paveri-Fontana, S.L.1
-
22
-
-
0018708437
-
FREFLO: A macroscopic simulation model of freeway traffic
-
Payne H.J. (1979) FREFLO: A macroscopic simulation model of freeway traffic. Transportation Research Record 722:68-75
-
(1979)
Transportation Research Record
, vol.722
, pp. 68-75
-
-
Payne, H.J.1
-
26
-
-
0000967284
-
Systems of conservation laws with coinciding shock and rarefaction curves
-
Temple B. (1983) Systems of conservation laws with coinciding shock and rarefaction curves. Contemp. Math. 17:143-151
-
(1983)
Contemp. Math.
, vol.17
, pp. 143-151
-
-
Temple, B.1
-
27
-
-
0036497648
-
A non-equilibrium traffic model devoid of gas-like behavior
-
Zhang M. (2002) A non-equilibrium traffic model devoid of gas-like behavior. Transportation Res. B 36:275-290
-
(2002)
Transportation Res. B
, vol.36
, pp. 275-290
-
-
Zhang, M.1
|