Crossing the elliptic region in a hyperbolic system with change-of-type behavior arising in flow between two parallel plates

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 6 2, 2004, Pages

  Talon, L ^a   Martin, J ^a   Rakotomalala, N ^a   Salin, D ^a   Yortsos, Y C ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b University of Southern California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; GAS DYNAMICS; KINEMATICS; PLATES (STRUCTURAL COMPONENTS); SEDIMENTATION; SOLUBILITY; VISCOSITY OF GASES;

FLUID DISPLACEMENTS; HYPERBOLIC SYSTEMS; LATTICE GAS SIMULATIONS; RIEMANN PROBLEMS;

FLOW OF FLUIDS;

EID: 37649026792     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.066318     Document Type: Article

References (26)

1. L. Lake, Enhanced Oil Recovery (Prentice Hall, Englewood Cliffs, NJ, 1989).
2. G. Batchelor and R. Janse Van Rensburg, J. Fluid Mech. 166, 379 (1985).
3. A. Aldushin and B. Matkowsky, Combust. Sci. Technol. 133, 293 (1998).
4. P. Pelcé, Dynamics of Curved Fronts (Academic Press, Boston, 1988).
5. J. Martin, N. Rakotomalala, and D. Salin, Phys. Fluids 7, 2510 (1995).
6. R. Menikoff and B. Plohr, Rev. Mod. Phys. 61, 75 (1989).
7. P. LeFloch, Hyperbolic Systems of Conservation Laws (Birkhauser Verlag, Basel, 2002).
8. J. Bell, J. Trangenstein, and G. Shubin, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 46, 1000 (1986).
9. E. Isaacson, D. Marchesin, and B. Plhor, SIAM J. Math. Anal. 21, 837 (1990).
10. B. Keyfitz, J. Diff. Eqns. 80, 280 (1989).
11. M. Shearer and J. Trangenstein, Transp. Porous Media 4, 499 (1989).
12. D. Jackson and M. Blunt, Transp. Porous Media 48, 249 (2002).
13. R. Juanes and T. Patzek, Transp. Porous Media (to be published).
14. F. Fayers and J. Matthews, SPEJ 24, 225 (1984).
15. L. Truskinovskii, J. Appl. Math. Mech. 51, 777 (1987).
16. M. Shearer and Y. Yang, Proc. - R. Soc. Edinburgh, Sect. A: Math. 125, 675 (1995).
17. P. Petitjeans and T. Maxworthy, J. Fluid Mech. 326, 37 (1996).
18. C.-Y. Chen and E. Meiburg, J. Fluid Mech. 326, 57 (1996).
19. E. Lajeunesse, J. Martin, N. Rakotomalala, and D. Salin, Phys. Rev. Lett. 79, 5254 (1997).
20. E. Lajeunesse, J. Martin, N. Rakotomalala, D. Salin, and Y. C. Yortsos, J. Fluid Mech. 398, 299 (1999).
21. N. Rakotomalala, D. Salin, and P. Watzky, J. Fluid Mech. 338, 277 (1997).
22. Z. Yang and Y. C. Yortsos, Phys. Fluids 9, 286 (1997).
23. M. Shariati, L. Talon, J. Martin, N. Rakotomalala, D. Salin, and Y. C. Yortsos (unpublished).
24. F. Manickam and G. Homsy, Phys. Fluids A 5, 1356 (1993).
25. D. Loggia, N. Rakotomalala, and D. Salin, Phys. Fluids 11, 740 (1999).
26. M. Shariati and Y. C. Yortsos, Phys. Fluids 13, 2245 (2001).