SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Journal of Differential Equations

Volumn 178, Issue 2, 2002, Pages 574-607

Diffusive-dispersive traveling waves and kinetic relations. Part I: Nonconvex hyperbolic conservation laws

(2) Bedjaoui, Nabil a,b Lefloch, Philippe G a

a CENTRE DE MATHÉMATIQUES APPLIQUÉES (France)

b UNIVERSITÉ DE PICARDIE JULES VERNE (France)

Author keywords

Diffusion; Dispersion; Entropy inequality; Hyperbolic conservation law; Kinetic relation; Shock wave; Undercompressive

Indexed keywords

EID: 0037138002 PISSN: 00220396 EISSN: None Source Type: Journal
DOI: 10.1006/jdeq.2000.4009 Document Type: Article

Times cited : (40)

References (25)

1
- 0008894832
- Kinetic relations and the propagation of phase boundaries in solids
- (1991) Arch. Rational Mech. Anal , vol.114 , pp. 119-154
- Abeyaratne, R.¹ Knowles, J.K.²

2
- 0026237436
- Implications of viscosity and strain gradient effects for the kinetics of propagating phase boundaries in solids
- (1991) SIAM J. Appl. Math , vol.51 , pp. 1205-1221
- Abeyaratne, R.¹ Knowles, J.K.²

3
- 0002132529
- Nonclassical shocks and the Cauchy problem: General conservation laws
- in "Nonlinear Partial Differential Equations, Inter. Confer. March 21-24, 1998, Northwestern Univ." (G.-Q. Chen and E. DiBenedetto, Eds.), Contemporary Mathematics
- (1999) Amer. Math. Soc , vol.238 , pp. 1-26
- Baiti, P.¹ LeFloch, P.G.² Piccoli, B.³

4
- 84876070485
- Diffusive-dispersive traveling waves and kinetic relations, Part II: An hyperbolic-elliptic model of phase transitions
- to appear
- Proc. Roy. Soc. Edinburgh Sect. A
- Bedjaoui, N.¹ LeFloch, P.G.²

5
- 85031464463
- Diffusive-dispersive traveling waves and kinetic relations, Part III: An hyperbolic model of nonlinear elastodynamics
- Annali Univ. di Ferrara, to appear
- Bedjaoui, N.¹ LeFloch, P.G.²

6
- 84974185524
- Traveling-wave solutions to the Korteweg-de Vries-Burgers equation
- (1985) Proc. Roy. Soc. Edinburgh Ser. A , vol.101 , pp. 207-226
- Bona, J.¹ Schonbek, M.E.²

7
- 0003478288
- "Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields"
- Applied Math. Sc. 42 Springer-Verlag, New York
- (1983)
- Guckenheimer, J.¹ Holmes, P.²

8
- 0031508127
- Nonclassical shocks and kinetic relations: Scalar conservation laws
- (1997) Arch. Rational Mech. Anal , vol.139 , pp. 1-56
- Hayes, B.T.¹ LeFloch, P.G.²

9
- 0001203812
- Nonclassical shocks and kinetic relations: Finite difference schemes
- (1998) SIAM J. Numer. Anal , vol.35 , pp. 2169-2194
- Hayes, B.T.¹ LeFloch, P.G.²

10
- 0034345304
- Nonclassical shocks and kinetic relations: Strictly hyperbolic systems
- (2000) SIAM J. Math. Anal , vol.31 , pp. 941-991
- Hayes, B.T.¹ LeFloch, P.G.²

11
- 22644451574
- Undercompressive shocks for scalar conservation laws with nonconvex fluxes
- (1999) Proc. Roy. Soc. Edinburgh Ser. A , vol.129 , pp. 717-732
- Hayes, B.T.¹ Shearer, M.²

12
- 0000215691
- Transitional waves for conservation laws
- (1990) SIAM J. Math. Anal , vol.21 , pp. 837-866
- Isaacson, E.¹ Marchesin, D.² Plohr, B.³

13
- 0000261039
- Traveling wave solutions of the modified Korteweg-deVries-Burgers equation
- (1995) J. Differential Equations , vol.116 , pp. 448-467
- Jacobs, D.¹ McKinney, W.R.² Shearer, M.³

14
- 0019221343
- The propagation of phase boundaries in elastic bars
- (1980) Arch. Rational Mech. Anal , vol.73 , pp. 125-158
- James, R.D.¹

15
- 84980077727
- Hyperbolic systems of conservation laws II
- (1957) Comm. Pure Appl. Math , vol.10 , pp. 537-566
- Lax, P.D.¹

16
- 21144471185
- Propagating phase boundaries: Formulation of the problem and existence via the Glimm scheme
- (1993) Arch. Rational Mech. Anal , vol.23 , pp. 153-197
- LeFloch, P.G.¹

17
- 0001819709
- An introduction to nonclassical shocks of systems of conservation laws
- in "Proceedings of the International School on Theory and Numerics for Conservation Laws, Freiburg/Littenweiler (Germany), 20-24 October 1997" (D. Kröner, M. Ohlberger, and C. Rohde, Eds.), Lecture Notes in Science and Engineering
- (1998) , pp. 28-72
- LeFloch, P.G.¹

18
- 0003906591
- "Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves"
- ETH Lecture Notes Series, Birkhäuser, Basel, to appear
- LeFloch, P.G.¹

19
- 0041127884
- On nonlinear stability of general undercompressive viscous shock waves
- (1995) Comm. Math. Phys , vol.174 , pp. 319-345
- Liu, T.P.¹ Zumbrun, K.²

20
- 0001500263
- Undercompressive shocks for nonstrictly hyperbolic conservation laws
- (1991) J. Dynam. Differential Equations , vol.3 , pp. 199-271
- Schecter, S.¹ Shearer, M.²

21
- 0000993611
- Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity
- (1999) J. Math. Anal. Appl , vol.229 , pp. 344-362
- Schulze, S.¹ Shearer, M.²

22
- 0001486653
- The Riemann problem for a class of conservation laws of mixed type
- (1982) J. Differential Equations , vol.46 , pp. 426-443
- Shearer, M.¹

23
- 0020500507
- Admissibility criteria for propagating phase boundaries in a van der Waals fluid
- (1983) Arch. Rational Mech. Anal , vol.81 , pp. 301-315
- Slemrod, M.¹

24
- 2442677705
- Dynamics of non-equilibrium phase boundaries in a heat conducting nonlinear elastic medium
- (1987) J. Appl. Math. Mech. (PMM) , vol.51 , pp. 777-784
- Truskinovsky, L.¹

25
- 0001430303
- Kinks versus shocks
- (R. Fosdick, E. Dunn, and H. Slemrod, Eds.), IMA Vol. Math. Appl. 52, Springer-Verlag, Berlin
- (1993) "Shock Induced Transitions and Phase Structures in General Media"
- Truskinovsky, L.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.