Non-equilibrium imbibition of a porous block

European Journal of Applied Mathematics

Volumn 7, Issue 1, 1996, Pages 43-52

  Gilman, Arkady ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030519151     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0956792500002187     Document Type: Article

References (12)

1. BARENBLATT, G. I. 1971 The flow of two immiscible liquids in homogeneous porous medium. Izvestiya Akademii Nauk SSSR. Mekhanika Zhidkosti i Gaza 5: 144-151 (in Russian).
2. BEAR, J. & BACHMAT, Y. 1990 Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer Academic.
3. BARENBLATT, G. I., ENTOV, V. M. & RYZHIK, V. M. 1991 Flow of Fluids through Natural Rocks. Kluwer Academic.
4. BARENBLATT, G. I. & VINNICHENKO, A. P. 1980 Non-equilibrium filtration of immiscible liquids. Uspechi Mekhaniki 3: 33-50 (in Russian).
5. GILMAN, A. A. 1988 Analogy between two mathematical models in the theory of two-phase filtration. Inzhenerno-Fizicheskii Zhurnal 55(5): 775-778 (in Russian).
6. BARENBLATT, G. I. & GILMAN, A. A. 1987 Mathematical model of non-equilibrium counter-current capillary imbibition. Inzhenerno-Fizicheskii Zhurnal 52(3): 456-461 (in Russian) (Also in J. Eng. Phys. in an English translation).
7. BARENBLATT, G. I. & GILMAN, A. A. 1987 Mathematical model of non-equilibrium counter-current capillary imbibition. Inzhenerno-Fizicheskii Zhurnal 52(3): 456-461 (in Russian) (Also in J. Eng. Phys. in an English translation).
8. SHOWALTER, R. E. & TING, T. W. 1970 Pseudoparabolic partial differential equations. SIAM J. Math. Anal. 1(1): 1-26.
9. DI BENEDETTO, E. & PIERRE, M. 1981 On the maximum principle for pseudoparabolic equations. Indiana Univ. Math. J. 30(6): 821-854.
10. LIONS, J. L. 1969 Quelques méthodes de resolution des problèmes aux limites non-linéaires. Dunod.
11. FUČÍK, S. & KUFNER, A. 1980 Nonlinear Differential Equations. Elsevier.
12. YOSIDA, K. 1965 Functional Analysis. Springer-Verlag.