-
1
-
-
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
-
2
-
-
84990701264
-
The relaxing schemes for systems of conservation laws in arbitrary space dimensions
-
S. JIN AND Z. XIN, The relaxing schemes for systems of conservation laws in arbitrary space dimensions, Comm. Pure Appl. Math., 48 (1995), pp. 235-276.
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, pp. 235-276
-
-
Jin, S.1
Xin, Z.2
-
3
-
-
0037353363
-
The formation and structure of vehicle clusters in the PayneWhitham traffic flow model
-
W. L. JIN AND H. M. ZHANG, The formation and structure of vehicle clusters in the PayneWhitham traffic flow model, Transportation Res. Part B, 37 (2003), pp. 207-223.
-
(2003)
Transportation Res. Part B
, vol.37
, pp. 207-223
-
-
Jin, W.L.1
Zhang, H.M.2
-
4
-
-
0028051265
-
Relaxation and diffusion enhanced dispersive waves
-
S. JIN AND J.-G. LIU, Relaxation and diffusion enhanced dispersive waves, Proc. R. Soc. Lond. Ser. A, 446 (1994), pp. 555-563.
-
(1994)
Proc. R. Soc. Lond. Ser. A
, vol.446
, pp. 555-563
-
-
Jin, S.1
Liu, J.-G.2
-
5
-
-
0034905839
-
Diffusion induced oscillatory insulin secretion
-
J. P. KEENER, Diffusion induced oscillatory insulin secretion, Bull. Math. Biol., 63 (2001), pp. 625-641.
-
(2001)
Bull. Math. Biol.
, vol.63
, pp. 625-641
-
-
Keener, J.P.1
-
6
-
-
0002562202
-
Structure and parameters of clusters in traffic flow
-
B. S. KERNER AND P. KONHÄUSER, Structure and parameters of clusters in traffic flow, Phys. Rev. E, 50 (1994), pp. 54-83.
-
(1994)
Phys. Rev. E
, vol.50
, pp. 54-83
-
-
Kerner, B.S.1
Konhäuser, P.2
-
7
-
-
0001282720
-
Traffic jams, granular flow, and soliton selection
-
D. A. KURTZE AND D. C. HONG, Traffic jams, granular flow, and soliton selection, Phys. Rev. E, 52 (1995), pp. 218-221.
-
(1995)
Phys. Rev. E
, vol.52
, pp. 218-221
-
-
Kurtze, D.A.1
Hong, D.C.2
-
8
-
-
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
-
9
-
-
18344413247
-
Steady-state solutions of hydrodynamic traffic models
-
H. Y. LEE, H.-W. LEE, AND D. KIM, Steady-state solutions of hydrodynamic traffic models, Phys. Rev. E, 69 (2004), 016118.
-
(2004)
Phys. Rev. E
, vol.69
, pp. 016118
-
-
Lee, H.Y.1
Lee, H.-W.2
Kim, D.3
-
10
-
-
20744447537
-
Stability of a traffic flow model with nonconvex relaxation
-
T. LI AND H. LIU, Stability of a traffic flow model with nonconvex relaxation, Commun. Math. Sci., 3 (2005), pp. 101-118.
-
(2005)
Commun. Math. Sci.
, vol.3
, pp. 101-118
-
-
Li, T.1
Liu, H.2
-
11
-
-
49349106455
-
Critical thresholds in a relaxation model for traffic flows
-
T. LI AND H. LIU, Critical thresholds in a relaxation model for traffic flows, Indiana Univ. Math. J., 57 (2008), pp. 1409-1431.
-
(2008)
Indiana Univ. Math. J.
, vol.57
, pp. 1409-1431
-
-
Li, T.1
Liu, H.2
-
12
-
-
0000249989
-
Rigorous asymptotic stability of a CJ detonation wave in the limit of small resolved heat release
-
T. LI, Rigorous asymptotic stability of a CJ detonation wave in the limit of small resolved heat release, Combust. Theory Model., 1 (1997), pp. 259-270.
-
(1997)
Combust. Theory Model.
, vol.1
, pp. 259-270
-
-
Li, T.1
-
13
-
-
0038367810
-
Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow
-
T. LI, Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow, J. Differential Equations, 190 (2003), pp. 131-149.
-
(2003)
J. Differential Equations
, vol.190
, pp. 131-149
-
-
Li, T.1
-
14
-
-
20744454119
-
Nonlinear dynamics of traffic jams
-
T. LI, Nonlinear dynamics of traffic jams, Phys. D, 207 (2005), pp. 41-51.
-
(2005)
Phys. D
, vol.207
, pp. 41-51
-
-
Li, T.1
-
15
-
-
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
-
16
-
-
0032338131
-
Stability of a relaxation model with a nonconvex flux
-
H. LIU, J. WANG, AND T. YANG, Stability of a relaxation model with a nonconvex flux, SIAM J. Math. Anal., 29 (1998), pp. 18-29.
-
(1998)
SIAM J. Math. Anal.
, vol.29
, pp. 18-29
-
-
Liu, H.1
Wang, J.2
Yang, T.3
-
17
-
-
0346829253
-
Soliton and kink jams in traffic flow with open boundaries
-
M. MURAMATSU AND T. NAGATANI, Soliton and kink jams in traffic flow with open boundaries, Phys. Rev. E, 60 (1999), pp. 180-187.
-
(1999)
Phys. Rev. E
, vol.60
, pp. 180-187
-
-
Muramatsu, M.1
Nagatani, T.2
-
18
-
-
33646598368
-
Stability of large-amplitude shock profiles of general relaxation systems
-
C. MASCIA AND K. ZUMBRUN, Stability of large-amplitude shock profiles of general relaxation systems, SIAM J. Math. Anal., 37 (2005), pp. 889-913.
-
(2005)
SIAM J. Math. Anal.
, vol.37
, pp. 889-913
-
-
Mascia, C.1
Zumbrun, K.2
-
19
-
-
21844512198
-
Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
-
A. MATSUMURA AND K. NISHIHARA, Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity, Comm. Math. Phys., 165 (1994), pp. 8396.
-
(1994)
Comm. Math. Phys.
, vol.165
, pp. 8396
-
-
Matsumura, A.1
Nishihara, K.2
-
20
-
-
0036741847
-
The physics of traffic jams
-
T. NAGATANI, The physics of traffic jams, Rep. Progr. Phys., 65 (2002), pp. 1331-1386.
-
(2002)
Rep. Progr. Phys.
, vol.65
, pp. 1331-1386
-
-
Nagatani, T.1
-
21
-
-
0004147225
-
-
Publ. Math. d'Orsay 78-02, Département de Mathématique, Université de Paris-Sud, Orsay, France
-
T. NISHIDA, Nonlinear Hyperbolic Equations and Related Topics in Fluid Dynamics, Publ. Math. d'Orsay 78-02, Département de Mathématique, Université de Paris-Sud, Orsay, France, 1978.
-
(1978)
Nonlinear Hyperbolic Equations and Related Topics in Fluid Dynamics
-
-
Nishida, T.1
-
22
-
-
34547372958
-
Nonlinear analysis in the Aw-Rascle anticipation model of traffic flow
-
Z.-H. OU, S.-Q. DAI, P. ZHANG, AND L.-Y. DONG, Nonlinear analysis in the Aw-Rascle anticipation model of traffic flow, SIAM J. Appl. Math., 67 (2007), pp. 605-618.
-
(2007)
SIAM J. Appl. Math.
, vol.67
, pp. 605-618
-
-
Ou, Z.-H.1
Dai, S.-Q.2
Zhang, P.3
Dong, L.-Y.4
-
24
-
-
0037210751
-
Driver memory, traffic viscosity and a viscous vehicular traffic flow model
-
H. M. ZHANG, Driver memory, traffic viscosity and a viscous vehicular traffic flow model, Transportation Res. Part B, 37 (2003), pp. 27-41.
-
(2003)
Transportation Res. Part B
, vol.37
, pp. 27-41
-
-
Zhang, H.M.1
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