Waiting-time solutions of a nonlinear diffusion equation: Experimental study of a creeping flow near a waiting front

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 3, 1996, Pages 2628-2636

  Marino, B M ^a   Thomas, L P ^a   Gratton, R ^a   Diez, J A ^a   Betelu S ^a   Gratton, J ^b  

^a UNIVERSIDAD NACIONAL DEL CENTRO DE LA PROVINCIA DE BUENOS AIRES   (Argentina)

^b Instituto de Fisica del Plasma Buenos Aires   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038763049     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.2628     Document Type: Article

References (33)

1. R. Seshadry and T Y. Na, Group Invariance in Engineering Boundary Value Problems (Springer-Verlag, New York, 1985).
2. L A. Peletier, in Applications of Nonlinear Analysis in the Physical Sciences, edited by H. Ammam and N. Bazley (Pitman, Boston, 1981), p. 229.
3. J. Bear, Dynamics of Fluids in Porous Media (American Elsevier, London, 1982).
4. A A. Lacey, J R. Ockendon and A B. Tayler, J. Appl. Math.42, 1252 (1982).
5. J. Buckmaster, J. Fluid Mech.81, 735 (1977).
6. H E. Huppert, J. Fluid Mech.121, 43 (1982).
7. J R. Lister and R C. Kerr, J. Fluid Mech.203, 215 (1989).
8. D P. Hoult, Annu. Rev. Fluid4, 341 (1972).
9. J E. Simpson, Annu. Rev. Fluid Mech.14, 213 (1982).
10. H E. Huppert, J. Fluid Mech.173, 557 (1986).
11. R C. Kerr and J R. Lister, Earth Planet. Sci. Lett.85, 241 (1987).
12. B M. Marino, L. Thomas, J. Diez and R. Gratton, J. Colloid. Interf. Sci.177, 14 (1996).
13. W L. Kath and D S. Cohen, Stud. Appl. Math.67, 79 (1982).
14. D G. Aronson, L A. Caffarelli and S. Kamin, SIAM J. Anal.14, 639 (1983).
15. R E. Pattle, Q. J. Mech. Appl. Math.12, 407 (1959).
16. G I. Barenblatt, Similarity, Self-Similarity, and Intermediate Asymptotics (Consultants Bureau, New York, 1979).
17. J A. Diez, R. Gratton and J. Gratton, Phys. Fluids A4, 1148 (1992).
18. J. Gratton, Fund Cosmic Phys.15, 1 (1991).
19. Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High Temperature Hydrodynamics Phenomena (Academic, New York, 1967).
20. D G. Aronson, SIAM J. Appl. Math.19, 299 (1970).
21. B F. Knerr, Trans. Am. Math. Soc.234, 381 (1977).
22. S. Kamin, in Free Boundary Problems, edited by E. Magenes (Tecnoprint, Rome, 1980).
23. N F. Smyth and J M. Hill, IMAJ J. Appl. Math.40, 73 (1988).
24. J. Gratton and C. Vigo, An. AFA (to be published).
25. J. Gratton, E. Rossello, and J. A. Diez, An. Acad. Nac. Cien. Exactas Fis. Nat. Buenos Aires 1992, 51.
26. D G. Aronson, L A. Caffarelli and J L. Vazquez, Commun. Pure Appl. Math.38, 375 (1985).
27. J L. Vazquez, Trans. Am. Math. Soc.285, 717 (1984).
28. J A. Diez, R. Gratton, L. Thomas and B. Marino, Phys. Fluids6, 24 (1994).
29. K J. Ruschak, Rev. Fluid Mech.17, 65 (1985).
30. H A. Barnes, J F. Fulton, and K. Walters, An Introduction to Rheology (Elsevier, New York, 1989).
31. R R. Rahalker, Proc. R. Soc. London Ser. A394, 207 (1984).
32. L H. Tanner, J. Phys. D12, 1473 (1979).
33. J D. Chen, J. Colloid. Interf. Sci.122, 60 (1987).