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Volumn 146, Issue 2, 1998, Pages 261-286

On the Steady-State Flow of an Incompressible Fluid through a Randomly Perforated Porous Medium

Author keywords

Fluid flow, porous medium, Stokes equations, homogenization, stochastic two scale mean convergence

Indexed keywords


EID: 0001239582     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3436     Document Type: Article
Times cited : (12)

References (20)
  • 1
    • 84974746759 scopus 로고
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    • Allaire G. Homogenization of the Stokes flow in a connected porous medium. Asymptotic Anal. 2:1989;203-222.
    • (1989) Asymptotic Anal , vol.2 , pp. 203-222
    • Allaire, G.1
  • 2
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • Allaire G. Homogenization and two-scale convergence. SIAM J. Math. Anal. 23:1992;1482-1518.
    • (1992) SIAM J. Math. Anal , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 5
    • 84942225190 scopus 로고
    • Stochastic two-scale convergence in the mean and applications
    • Bourgeat A., Mikelic A., Wright S. Stochastic two-scale convergence in the mean and applications. J. Reine Angew. Math. 456:1994;19-51.
    • (1994) J. Reine Angew. Math , vol.456 , pp. 19-51
    • Bourgeat, A.1    Mikelic, A.2    Wright, S.3
  • 12
    • 0039038698 scopus 로고
    • A Darcy law for slow viscous flow past a stationary array of bubbles
    • Lipton R., Avellaneda M. A Darcy law for slow viscous flow past a stationary array of bubbles. Proc. Royal Soc. Edinburg. 114A:1990;71-79.
    • (1990) Proc. Royal Soc. Edinburg , vol.114 , pp. 71-79
    • Lipton, R.1    Avellaneda, M.2
  • 13
    • 0001576694 scopus 로고
    • I problemi al contorno per le equazioni diffenziali di tipo ellitico
    • Magenes E., Stampacchia G. I problemi al contorno per le equazioni diffenziali di tipo ellitico. Ann. Scuola. Norm. Sup. Pisa. 12:1958;247-357.
    • (1958) Ann. Scuola. Norm. Sup. Pisa , vol.12 , pp. 247-357
    • Magenes, E.1    Stampacchia, G.2
  • 15
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • Nguetseng G. A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20:1989;608-623.
    • (1989) SIAM J. Math. Anal , vol.20 , pp. 608-623
    • Nguetseng, G.1
  • 18
    • 0002197945 scopus 로고
    • Non-homogeneous Media and Vibration Theory
    • Berlin/New York: Springer-Verlag
    • Sanchez-Palencia E. Non-homogeneous Media and Vibration Theory. Lecture Notes in Physics. 127:1980;Springer-Verlag, Berlin/New York.
    • (1980) Lecture Notes in Physics , vol.127
    • Sanchez-Palencia, E.1
  • 19
    • 0002117462 scopus 로고
    • Incompressible fluid flow in a porous medium-convergence of the homogenization process
    • E. Sanchez-Palencia. Berlin/New York: Springer-Verlag
    • Tartar L. Incompressible fluid flow in a porous medium-convergence of the homogenization process. Sanchez-Palencia E. Non-homogeneous Media and Vibration Theory. 1980;368-377 Springer-Verlag, Berlin/New York.
    • (1980) Non-homogeneous Media and Vibration Theory , pp. 368-377
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.