메뉴 건너뛰기




Volumn 52, Issue 7, 1999, Pages 873-915

Evolution of microstructure in unstable porous media flow: A relaxational approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039525530     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199907)52:7<873::AID-CPA5>3.0.CO;2-T     Document Type: Article
Times cited : (74)

References (16)
  • 1
    • 0020846412 scopus 로고
    • Numerical experiments on Hele-Shaw flow with sharp interface
    • Aref, H.; Tryggvason, G. Numerical experiments on Hele-Shaw flow with sharp interface. J. Fluid Mech. 136 (1983), 1-30.
    • (1983) J. Fluid Mech. , vol.136 , pp. 1-30
    • Aref, H.1    Tryggvason, G.2
  • 2
    • 0001356905 scopus 로고
    • Sur la géométrie différentielle des groupes de lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits
    • fasc. 1
    • Arnold, V. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits. (French) Ann. Inst. Fourier (Grenoble) 16 (1966), fasc. 1, 319-361.
    • (1966) Ann. Inst. Fourier (Grenoble) , vol.16 , pp. 319-361
    • Arnold, V.1
  • 3
    • 84968509316 scopus 로고
    • The least action principle and the related concept of generalized flows for incompressible perfect fluids
    • Brenier, Y. The least action principle and the related concept of generalized flows for incompressible perfect fluids. J. Amer. Math. Soc. 2 (1990), no. 2, 225-255.
    • (1990) J. Amer. Math. Soc. , vol.2 , Issue.2 , pp. 225-255
    • Brenier, Y.1
  • 4
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • Brenier, Y. Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44 (1991), no. 4, 375-417.
    • (1991) Comm. Pure Appl. Math. , vol.44 , Issue.4 , pp. 375-417
    • Brenier, Y.1
  • 5
    • 0001121256 scopus 로고
    • The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media
    • Chouke, R. L.; van Meurs, P.; van der Poel, C. The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media. Trans. AIME 216 (1958), 188-194.
    • (1958) Trans. AIME , vol.216 , pp. 188-194
    • Chouke, R.L.1    Van Meurs, P.2    Van Der Poel, C.3
  • 6
    • 0001052255 scopus 로고
    • Groups of diffeomorphisms and the motion of an incompressible fluid
    • Ebin, D. G.; Marsden, J. Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. of Math. (2) 92 (1970), 102-163.
    • (1970) Ann. of Math. , vol.92 , Issue.2 , pp. 102-163
    • Ebin, D.G.1    Marsden, J.2
  • 7
    • 84971169180 scopus 로고
    • The displacement problem for elastic crystals
    • Fonseca, I.; Tartar, L. The displacement problem for elastic crystals. Proc. Roy. Soc. Edinburgh Sect. A 113 (1989), no. 1-2, 159-180.
    • (1989) Proc. Roy. Soc. Edinburgh Sect. A , vol.113 , Issue.1-2 , pp. 159-180
    • Fonseca, I.1    Tartar, L.2
  • 8
    • 21844484336 scopus 로고
    • An elementary proof of the polar factorization of vector-valued functions
    • Gangbo, W. An elementary proof of the polar factorization of vector-valued functions. Arch. Rational Mech. Anal. 128 (1994), no. 4, 381-399.
    • (1994) Arch. Rational Mech. Anal. , vol.128 , Issue.4 , pp. 381-399
    • Gangbo, W.1
  • 9
    • 0023242924 scopus 로고
    • Viscous fingering in porous media
    • Homsy, G. M. Viscous fingering in porous media. Ann. Review Fluid Mech. 19 (1987), 272-311.
    • (1987) Ann. Review Fluid Mech. , vol.19 , pp. 272-311
    • Homsy, G.M.1
  • 10
    • 0000220623 scopus 로고
    • First order quasilinear equations with several independent variables
    • Kružkov, S. N. First order quasilinear equations with several independent variables. (Russian) Mat. Sb. (N.S.) 81 (123) (1970), 228-255.
    • (1970) Mat. Sb. (N.S.) , vol.81 , Issue.123 , pp. 228-255
    • Kružkov, S.N.1
  • 12
    • 84972545670 scopus 로고
    • Characterization of the subdifferentials of convex functions
    • Rockafellar, R. T. Characterization of the subdifferentials of convex functions. Pacific J. Math. 17 (1966), 497-510.
    • (1966) Pacific J. Math. , vol.17 , pp. 497-510
    • Rockafellar, R.T.1
  • 13
    • 0001383598 scopus 로고
    • The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
    • Saffman, P. G.; Taylor, G. I. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. Roy. Soc. London Ser. A 245 (1958), 312-329.
    • (1958) Proc. Roy. Soc. London Ser. A , vol.245 , pp. 312-329
    • Saffman, P.G.1    Taylor, G.I.2
  • 14
    • 0002479515 scopus 로고
    • The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid
    • no. 1
    • Shnirel'man, A. I. The geometry of the group of diffeomorphisms and the dynamics of an ideal incompressible fluid. (Russian) Mat. Sb. (N.S.) 128(170) (1985), no. 1, 82-109, 144.
    • (1985) Mat. Sb. (N.S.) , vol.128 , Issue.170 , pp. 82-109
    • Shnirel'man, A.I.1
  • 15
    • 0001476606 scopus 로고
    • Two-timing, variational principles and waves
    • Whitham, G. B. Two-timing, variational principles and waves. J. Fluid Mech. 44 (1970), 373-395.
    • (1970) J. Fluid Mech. , vol.44 , pp. 373-395
    • Whitham, G.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.