On the interface boundary condition of Beavers, Joseph, and Saffman

SIAM Journal on Applied Mathematics

Volumn 60, Issue 4, 2000, Pages 1111-1127

  Jäger, Willi ^a   Mikelić, Andro ^b  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHANNEL FLOW; INCOMPRESSIBLE FLOW; LAMINAR FLOW; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PORE SIZE; POROUS MATERIALS; TENSORS; VISCOUS FLOW;

BEAVERS AND JOSEPH LAW; EFFECTIVE INTERFACE LAW; HOMOGENIZATION; UNIFORM PRESSURE GRADIENT METHOD;

BOUNDARY CONDITIONS;

EID: 0043238030     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s003613999833678x     Document Type: Article

References (12)

1. S.N. ANTONTSEV, A.V. KAZHIKHOV, AND V.N. MONAKHOV, Boundary Value Problems in Mechanics of Nonhomogeneous Fluids, Elsevier, Amsterdam, 1990.
2. G.S. BEAVERS AND D.D. JOSEPH, Boundary conditions at a naturally permeable wall, J. Fluid Mech., 30 (1967), pp. 197-207.
3. C. CONCA, On the applications of the homogenization theory to a class of problems arising in fluid mechanics, J. Math. Pures Appl., 64 (1985), pp. 31-75.
4. C. CONCA, Étude d'un fluide traversant une paroi perforée I. Comportement limite près de la paroi, J. Math. Pures Appl., 66 (1987), pp. 1-44. II. Comportement limite loin de la paroi, J. Math. Pures Appl., 66 (1987), pp. 45-69.
5. C. CONCA, Étude d'un fluide traversant une paroi perforée I. Comportement limite près de la paroi, J. Math. Pures Appl., 66 (1987), pp. 1-44. II. Comportement limite loin de la paroi, J. Math. Pures Appl., 66 (1987), pp. 45-69.
6. C. CONCA, F. MURAT, AND O. PIRONNEAU, The Stokes and Navier-Stokes equations with boundary conditions involving the pressure, Japan J. Math., 20 (1994), pp. 279-318.
7. H.I. ENE AND E. SANCHEZ-PALENCIA, Equations et phénomènes de surface pour l'écoulement dans un modèle de milieu poreux, J. Mécanique, 14 (1975), pp. 73-108.
8. G.P. GALDI, An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vols. I and II, Springer-Verlag, New York, 1994.
9. G.A. IOSIF'YAN, An analogue of Saint-Venant's principle and the uniqueness of the solutions of the first boundary value problem for the Stokes system in domains with noncompact boundaries, Dokl. Akad. Nauk SSSR, 242 (1978), pp. 36-39 (in Russian).
10. W. JÄGER AND A. MIKELIĆ, On the boundary conditions at the contact interface between a porous medium and a free fluid, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 23 (1996), pp. 403-465.
11. W. JÄGER AND A. MIKELIĆ, On the effective equations of a viscous incompressible fluid flow through a filter of finite thickness, Comm. Pure Appl. Math., 51 (1998), pp. 1073-1121.
12. P.G. SAFFMAN, On the boundary condition at the interface of a porous medium, Stud. Appl. Math., 1 (1971), pp. 93-101.