-
1
-
-
0033691480
-
Resurrection of "second order" models of traffic flow
-
(electronic)
-
Aw A., Rascle M. Resurrection of "second order" models of traffic flow. SIAM J. Appl. Math. 2000, 60(3):916-938. (electronic).
-
(2000)
SIAM J. Appl. Math.
, vol.60
, Issue.3
, pp. 916-938
-
-
Aw, A.1
Rascle, M.2
-
2
-
-
0343824713
-
A convection-diffusion problem with small diffusion coefficient arising in semiconductor physics
-
Brezzi F., Markowich P.A. A convection-diffusion problem with small diffusion coefficient arising in semiconductor physics. Boll. Unione Mat. Ital. B (7) 1988, 2(4):903-930.
-
(1988)
Boll. Unione Mat. Ital. B (7)
, vol.2
, Issue.4
, pp. 903-930
-
-
Brezzi, F.1
Markowich, P.A.2
-
3
-
-
34248370060
-
The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion
-
Burger M., Di Francesco M., Dolak-Struss Y. The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion. SIAM J. Math. Anal. 2006, 38:1288-1315.
-
(2006)
SIAM J. Math. Anal.
, vol.38
, pp. 1288-1315
-
-
Burger, M.1
Di Francesco, M.2
Dolak-Struss, Y.3
-
4
-
-
42649096592
-
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions
-
Burger M., Dolak-Struss Y., Schmeiser C. Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Commun. Math. Sci. 2008, 6:1-28.
-
(2008)
Commun. Math. Sci.
, vol.6
, pp. 1-28
-
-
Burger, M.1
Dolak-Struss, Y.2
Schmeiser, C.3
-
5
-
-
84875487804
-
A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions
-
Hyperbolic Problems: Theory, Numerics and Applications
-
Bürger R., Karlsen K., Towers J. A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Proc. Sympos. Appl. Math. 2009, vol. 67:455-464.
-
(2009)
Proc. Sympos. Appl. Math.
, vol.67
, pp. 455-464
-
-
Bürger, R.1
Karlsen, K.2
Towers, J.3
-
6
-
-
50049088350
-
Difference schemes, entropy solutions and speedup impulse for an inhomogeneous kinematic traffic flow model
-
Bürger R., Garcìa A., Karlsen K., Towers J. Difference schemes, entropy solutions and speedup impulse for an inhomogeneous kinematic traffic flow model. Netw. Heterog. Media 2008, 3(2):1-41.
-
(2008)
Netw. Heterog. Media
, vol.3
, Issue.2
, pp. 1-41
-
-
Bürger, R.1
Garcìa, A.2
Karlsen, K.3
Towers, J.4
-
8
-
-
23944512223
-
Pedestrian flows and non-classical shocks
-
Colombo R.M., Rosini M.D. Pedestrian flows and non-classical shocks. Math. Methods Appl. Sci. 2005, 28(13):1553-1567.
-
(2005)
Math. Methods Appl. Sci.
, vol.28
, Issue.13
, pp. 1553-1567
-
-
Colombo, R.M.1
Rosini, M.D.2
-
9
-
-
0002447593
-
Boundary conditions for nonlinear hyperbolic systems of conservation laws
-
Dubois F., LeFloch P. Boundary conditions for nonlinear hyperbolic systems of conservation laws. J. Differential Equations 1988, 71(1):93-122.
-
(1988)
J. Differential Equations
, vol.71
, Issue.1
, pp. 93-122
-
-
Dubois, F.1
LeFloch, P.2
-
10
-
-
78349305741
-
One-sided difference schemes and transonic flow
-
Engquist B., Osher S. One-sided difference schemes and transonic flow. Proc. Natl. Acad. Sci. USA 1980, 77(6):3071-3074.
-
(1980)
Proc. Natl. Acad. Sci. USA
, vol.77
, Issue.6
, pp. 3071-3074
-
-
Engquist, B.1
Osher, S.2
-
12
-
-
0033410428
-
Self-organized phase transitions in CA-models for pedestrians
-
Fukui M., Ishibashi Y. Self-organized phase transitions in CA-models for pedestrians. J. Phys. Soc. Japan 1999, 8:2861-2863.
-
(1999)
J. Phys. Soc. Japan
, vol.8
, pp. 2861-2863
-
-
Fukui, M.1
Ishibashi, Y.2
-
13
-
-
0035470907
-
Traffic and related self-driven many-particle systems
-
Helbing D. Traffic and related self-driven many-particle systems. Rev. Modern Phys. 2001, 73(4):1067-1141.
-
(2001)
Rev. Modern Phys.
, vol.73
, Issue.4
, pp. 1067-1141
-
-
Helbing, D.1
-
14
-
-
0142016001
-
Simulation of pedestrian crowds in normal and evacuation situations
-
Springer-Verlag, Berlin, M. Schreckenberg, S.D. Sharma (Eds.)
-
Helbing D., Farkas I.J., Molnar P., Vicsek T. Simulation of pedestrian crowds in normal and evacuation situations. Pedestrian and Evacuation Dynamics 2002, 21-58. Springer-Verlag, Berlin. M. Schreckenberg, S.D. Sharma (Eds.).
-
(2002)
Pedestrian and Evacuation Dynamics
, pp. 21-58
-
-
Helbing, D.1
Farkas, I.J.2
Molnar, P.3
Vicsek, T.4
-
16
-
-
35248856713
-
The statistics of crowd fluids
-
Henderson L.F. The statistics of crowd fluids. Nature 1971, 229:381-383.
-
(1971)
Nature
, vol.229
, pp. 381-383
-
-
Henderson, L.F.1
-
17
-
-
0036643318
-
A continuum theory for the flow of pedestrians
-
Hughes R.L. A continuum theory for the flow of pedestrians. Transp. Res. Part B: Methodological 2002, 36(6):507-535.
-
(2002)
Transp. Res. Part B: Methodological
, vol.36
, Issue.6
, pp. 507-535
-
-
Hughes, R.L.1
-
18
-
-
0346245136
-
The flow of human crowds
-
Hughes R.L. The flow of human crowds. Annu. Rev. Fluid Mech. 2003, 35:169-182.
-
(2003)
Annu. Rev. Fluid Mech.
, vol.35
, pp. 169-182
-
-
Hughes, R.L.1
-
19
-
-
0038784363
-
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
-
Karlsen K.H., Risebro N.H. On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Discrete Contin. Dyn. Syst. 2003, 9(5):1081-1104.
-
(2003)
Discrete Contin. Dyn. Syst.
, vol.9
, Issue.5
, pp. 1081-1104
-
-
Karlsen, K.H.1
Risebro, N.H.2
-
20
-
-
0033196472
-
Stability of conservation laws with discontinuous coefficients
-
Klausen R.A., Risebro N.H. Stability of conservation laws with discontinuous coefficients. J. Differential Equations 1999, 157(1):41-60.
-
(1999)
J. Differential Equations
, vol.157
, Issue.1
, pp. 41-60
-
-
Klausen, R.A.1
Risebro, N.H.2
-
21
-
-
0000055941
-
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior
-
Klingenberg C., Risebro N.H. Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior. Comm. Partial Differential Equations 1995, 20(11-12):1959-1990.
-
(1995)
Comm. Partial Differential Equations
, vol.20
, Issue.11-12
, pp. 1959-1990
-
-
Klingenberg, C.1
Risebro, N.H.2
-
22
-
-
84956238079
-
First order quasilinear equations in several independent variables
-
Kružkov S.N. First order quasilinear equations in several independent variables. Math. USSR Sb. 1970, 10:217-243.
-
(1970)
Math. USSR Sb.
, vol.10
, pp. 217-243
-
-
Kružkov, S.N.1
-
23
-
-
0003690983
-
-
Academic Press, New York, translated by Scripta Technica, translation editor: Leon Ehrenpreis
-
Ladyzhenskaia O.A., Uraltseva N.N. Linear and Quasilinear Elliptic Equations 1968, Academic Press, New York, translated by Scripta Technica, translation editor: Leon Ehrenpreis.
-
(1968)
Linear and Quasilinear Elliptic Equations
-
-
Ladyzhenskaia, O.A.1
Uraltseva, N.N.2
-
25
-
-
0008292479
-
Numerical Methods for Conservation Laws
-
Birkhäuser Verlag, Basel
-
LeVeque R.J. Numerical Methods for Conservation Laws. Lectures Math. ETH Zürich 1992, Birkhäuser Verlag, Basel. second ed.
-
(1992)
Lectures Math. ETH Zürich
-
-
LeVeque, R.J.1
-
26
-
-
0000090588
-
On kinematic waves. II. A theory of traffic flow on long crowded roads
-
Lighthill M.J., Whitham G.B. On kinematic waves. II. A theory of traffic flow on long crowded roads. Proc. R. Soc. Lond. Ser. A May 1955, 229:317-345.
-
(1955)
Proc. R. Soc. Lond. Ser. A
, vol.229
, pp. 317-345
-
-
Lighthill, M.J.1
Whitham, G.B.2
-
27
-
-
55049132227
-
Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm
-
Ling H., Wong S.C., Zhang M., Shu C.-H., Lam W.H.K. Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm. Transp. Res. Part B: Methodological 2009, 43(1):127-141.
-
(2009)
Transp. Res. Part B: Methodological
, vol.43
, Issue.1
, pp. 127-141
-
-
Ling, H.1
Wong, S.C.2
Zhang, M.3
Shu, C.-H.4
Lam, W.H.K.5
-
28
-
-
38249024140
-
A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics
-
Markowich P.A., Szmolyan P. A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. J. Differential Equations 1989, 81(2):234-254.
-
(1989)
J. Differential Equations
, vol.81
, Issue.2
, pp. 234-254
-
-
Markowich, P.A.1
Szmolyan, P.2
-
29
-
-
78149284346
-
A macroscopic crowd motion model of the gradient-flow type
-
in press.
-
B. Maury, A. Roudneff-Chupin, F. Santambrogio, A macroscopic crowd motion model of the gradient-flow type, M3AS (2009), in press. doi:10.1142/S0218202510004799.
-
(2009)
M3AS
-
-
Maury, B.1
Roudneff-Chupin, A.2
Santambrogio, F.3
-
30
-
-
0033883920
-
Jamming transition in two-dimensional pedestrian traffic
-
Muramatsu M., Nagatani T. Jamming transition in two-dimensional pedestrian traffic. Phys. A 2000, 275:281-291.
-
(2000)
Phys. A
, vol.275
, pp. 281-291
-
-
Muramatsu, M.1
Nagatani, T.2
-
31
-
-
0021413939
-
Riemann solvers, the entropy condition, and difference approximations
-
Osher S. Riemann solvers, the entropy condition, and difference approximations. SIAM J. Numer. Anal. 1984, 21(2):217-235.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, Issue.2
, pp. 217-235
-
-
Osher, S.1
-
32
-
-
68149136534
-
Pedestrian flows in bounded domains with obstacles
-
Piccoli B., Tosin A. Pedestrian flows in bounded domains with obstacles. Contin. Mech. Thermodyn. 2009, 21(2):85-107.
-
(2009)
Contin. Mech. Thermodyn.
, vol.21
, Issue.2
, pp. 85-107
-
-
Piccoli, B.1
Tosin, A.2
-
33
-
-
78349305153
-
-
PhD thesis, in preparation.
-
J.-F. Pietschmann, PhD thesis, in preparation.
-
-
-
Pietschmann, J.-F.1
-
34
-
-
0002842180
-
Shock waves on the highway
-
Richards P.I. Shock waves on the highway. Oper. Res. 1956, 4(1):42-51.
-
(1956)
Oper. Res.
, vol.4
, Issue.1
, pp. 42-51
-
-
Richards, P.I.1
-
36
-
-
0003423678
-
Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations
-
Springer-Verlag, New York
-
Thomas J.W. Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations. Texts Appl. Math. 1999, vol. 33. Springer-Verlag, New York.
-
(1999)
Texts Appl. Math.
, vol.33
-
-
Thomas, J.W.1
-
37
-
-
0034449655
-
Convergence of a difference scheme for conservation laws with a discontinuous flux
-
(electronic)
-
Towers J.D. Convergence of a difference scheme for conservation laws with a discontinuous flux. SIAM J. Numer. Anal. 2000, 38(2):681-698. (electronic).
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, Issue.2
, pp. 681-698
-
-
Towers, J.D.1
-
38
-
-
33749247063
-
Continuum crowds, in: ACM Transaction on Graphics
-
A. Treuille, S. Cooper, Z. Popovic, Continuum crowds, in: ACM Transaction on Graphics, Proceedings of SCM SIGGRAPH 2006, vol. 25, pp. 1160-1168.
-
Proceedings of SCM SIGGRAPH 2006
, vol.25
, pp. 1160-1168
-
-
Treuille, A.1
Cooper, S.2
Popovic, Z.3
-
39
-
-
0043094828
-
Abstract quasilinear evolution equations of parabolic type in Banach spaces
-
Yagi A. Abstract quasilinear evolution equations of parabolic type in Banach spaces. Boll. Unione Mat. Ital. B (7) 1991, 5(2):341-368.
-
(1991)
Boll. Unione Mat. Ital. B (7)
, vol.5
, Issue.2
, pp. 341-368
-
-
Yagi, A.1
-
40
-
-
0001401614
-
Modeling circulation systems in buildings using state dependent queueing models
-
Yuhaski S.J., Smith J.M. Modeling circulation systems in buildings using state dependent queueing models. Queueing Syst. Theory Appl. 1989, 4(4):319-338.
-
(1989)
Queueing Syst. Theory Appl.
, vol.4
, Issue.4
, pp. 319-338
-
-
Yuhaski, S.J.1
Smith, J.M.2
-
41
-
-
0242267633
-
A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model
-
Zhang M., Shu C.-W., Wong G.C.K., Wong S.C. A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model. J. Comput. Phys. 2003, 191(2):639-659.
-
(2003)
J. Comput. Phys.
, vol.191
, Issue.2
, pp. 639-659
-
-
Zhang, M.1
Shu, C.-W.2
Wong, G.C.K.3
Wong, S.C.4
-
42
-
-
29144469118
-
A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway
-
Zhang P., Wong S., Shu C.-W. A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway. J. Comput. Phys. 2006, 212(2):739-756.
-
(2006)
J. Comput. Phys.
, vol.212
, Issue.2
, pp. 739-756
-
-
Zhang, P.1
Wong, S.2
Shu, C.-W.3
|