Lateral instability in normal viscous fingers

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

Volumn 71, Issue 1, 2005, Pages

  Ledesma Aguilar, R ^a   Quevedo Reyes, M ^a   Poiré, E Corvera ^a   Hernandez Machado A ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

LATERAL INSTABILITY; MACROSCOPIC MODEL; MESOSCOPIC EQUATIONS; VISCOUS FINGERS;

ACOUSTIC NOISE; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; VELOCITY MEASUREMENT;

VISCOSITY;

EID: 45849155103     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.016312     Document Type: Article

References (24)

1. Branching in Nature, edited by V. Fleury, J.-F. Gouyet, and M. Léonetti (Springer-Verlag, Berlin, 2001).
2. E. Ben-Jacob and H. Levine, Adv. Phys. 49, 395 (2000).
3. J. Gollub and J. Langer, Rev. Mod. Phys. 71, S396 (1999).
4. Solids Far from Equilibrium, edited by C. Godrèche (Cambridge University Press, Cambridge, England, 1992).
5. A. Dougherty, P. Kaplan, and J. Gollub, Phys. Rev. Lett. 58, 1652 (1987).
6. A. Dougherty and J. Gollub, Phys. Rev. A 38, 3043 (1988).
7. M. Barber, A. Barbieri, and J. Langer, Phys. Rev. A 36, 3340 (1987).
8. R. Pieters, Phys. Rev. A 37, 3126 (1988).
9. R. Pieters and J. Langer, Phys. Rev. Lett. 56, 1948 (1986).
10. Y. Couder, N. Gérard, and M. Rabaud, Phys. Rev. A 34, 5175 (1986).
11. M. Rabaud, Y. Couder, and N. Gerard, Phys. Rev. A 37, 935 (1988).
12. P. Bouissou, A. Chiffaudel, B. Perrin, and P. Tabeling, Euro-phys. Lett. 13, 89 (1990).
13. X. Qian and H. Cummins, Phys. Rev. Lett. 64, 3038 (1990).
14. Perspectives in Fluid Dynamics, edited by G. K. Batchelor, H. K. Moffat, and M. G. Worster (Cambridge University Press, Cambridge, England, 2000).
15. E. Ben-Jacob, R. Godbey, N. Goldenfeld, J. Koplik, H. Levine, T. Mueller, and L. Sander, Phys. Rev. Lett. 55, 1315 (1985).
16. E. Decker, J. Ignés-Mullol, A. Baratt, and J. Maher, Phys. Rev. E 60, 1767 (1999).
17. K. McCloud and J. Maher, Phys. Rep. 260, 139 (1995).
18. S. Sarkar and D. Jasnow, Phys. Rev. A 39, 5299 (1989).
19. D. Bensimon, Phys. Rev. A 33, 1302 (1986).
20. M. Moore, A. Juel, J. Burgess, W. McCormick, and H. Swinney, Phys. Rev. E 65, 030601 (2002).
21. P. Pelcé, Dynamics of Curved Fronts (Academic, San Diego, 1988).
22. R. Folch, J. Casademunt, A. Hernández-Machado, and J. Ramírez-Piscina, Phys. Rev. E 60, 1724 (1999).
23. R. Folch, J. Casademunt, A. Hernández-Machado, and J. Ramírez-Piscina, Phys. Rev. E 60, 1734 (1999).
24. A. Hernández-Machado, A. M. Lacasta, E. Mayoral, and E. Corvera-Poiré, Phys. Rev. E 68, 046310 (2003).