메뉴 건너뛰기




Volumn 56, Issue 3, 2003, Pages 353-402

Analyticity and Nonexistence of Classical Steady Hele-Shaw Fingers

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037256320     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.3030     Document Type: Article
Times cited : (29)

References (35)
  • 3
    • 0033263944 scopus 로고    scopus 로고
    • On the role of Stokes lines in the selection of Saffman-Taylor fingers with small surface tension
    • Chapman, S. J. On the role of Stokes lines in the selection of Saffman-Taylor fingers with small surface tension. European J. Appl. Math. 10 (1999), no. 6, 513-534.
    • (1999) European J. Appl. Math. , vol.10 , Issue.6 , pp. 513-534
    • Chapman, S.J.1
  • 6
    • 0038509134 scopus 로고
    • Selection in the Saffman-Taylor bubble and asymmetrical finger problem
    • Combescot, R.; Dombre, T. Selection in the Saffman-Taylor bubble and asymmetrical finger problem. Phys. Rev. A 38 (1988), no. 5, 2573-2581.
    • (1988) Phys. Rev. A , vol.38 , Issue.5 , pp. 2573-2581
    • Combescot, R.1    Dombre, T.2
  • 7
    • 0000410307 scopus 로고    scopus 로고
    • On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations
    • Costin, O. On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations. Duke Math. J. 93 (1998), no. 2, 289-344.
    • (1998) Duke Math. J. , vol.93 , Issue.2 , pp. 289-344
    • Costin, O.1
  • 8
    • 29444441687 scopus 로고
    • Saffman-Taylor finger width at low interfacial tension
    • DeGregoria, A. J.; Schwartz, L. W. Saffman-Taylor finger width at low interfacial tension. Phys. Rev. Lett. 58 (1987), 1742-1744.
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 1742-1744
    • DeGregoria, A.J.1    Schwartz, L.W.2
  • 9
    • 0004940163 scopus 로고
    • Saffman-Taylor fingers with anisotropic surface tension
    • Dorsey, A. T.; Martin, O. Saffman-Taylor fingers with anisotropic surface tension. Phys. Rev. A 35 (1987), 3989-3992.
    • (1987) Phys. Rev. A , vol.35 , pp. 3989-3992
    • Dorsey, A.T.1    Martin, O.2
  • 10
    • 0023242924 scopus 로고
    • Viscous fingering in porous media
    • Homsy, G. M. Viscous fingering in porous media. Ann. Rev. Fluid Mech. 19 (1987), 271-311.
    • (1987) Ann. Rev. Fluid Mech. , vol.19 , pp. 271-311
    • Homsy, G.M.1
  • 11
    • 0000772855 scopus 로고
    • Analytic theory for the selection of Saffman-Taylor fingers
    • Hong, D. C.; Langer, J. S. Analytic theory for the selection of Saffman-Taylor fingers. Phys. Rev. Lett. 56 (1986), 2032-2035.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 2032-2035
    • Hong, D.C.1    Langer, J.S.2
  • 12
    • 0024000989 scopus 로고
    • Pattern selection in fingered growth phenomena
    • Kessler, D.; Koplik, J.; Levine, H. Pattern selection in fingered growth phenomena. Adv. Phys. 37 (1988), 255-339.
    • (1988) Adv. Phys. , vol.37 , pp. 255-339
    • Kessler, D.1    Koplik, J.2    Levine, H.3
  • 13
    • 35949019873 scopus 로고
    • Stability of finger patterns in Hele-Shaw cells
    • Kessler, D.; Levine, H. Stability of finger patterns in Hele-Shaw cells. Phys. Rev. A 32 (1985), no. 3, 1930-1933.
    • (1985) Phys. Rev. A , vol.32 , Issue.3 , pp. 1930-1933
    • Kessler, D.1    Levine, H.2
  • 14
    • 0343200910 scopus 로고
    • Theory of the Saffman-Taylor finger pattern I. II
    • Kessler, D.; Levine, H. Theory of the Saffman-Taylor finger pattern I. II. Phys. Rev. A 33 (1986), 2621-2633; 2634-2639.
    • (1986) Phys. Rev. A , vol.33 , pp. 2621-2633
    • Kessler, D.1    Levine, H.2
  • 16
    • 0001454630 scopus 로고
    • Asymptotics beyond all orders in a model of crystal growth
    • Kruskal, M. D.; Segur, H. Asymptotics beyond all orders in a model of crystal growth. Stud. Appl. Math. 85 (1991), no. 2, 129-181.
    • (1991) Stud. Appl. Math. , vol.85 , Issue.2 , pp. 129-181
    • Kruskal, M.D.1    Segur, H.2
  • 17
    • 0019374495 scopus 로고
    • The effect of surface tension on the shape of fingers in a Hele-Shaw cell
    • McLean, J. W.; Saffman, P. G. The effect of surface tension on the shape of fingers in a Hele-Shaw cell. J. Fluid Mech. 102 (1981), 455-469.
    • (1981) J. Fluid Mech. , vol.102 , pp. 455-469
    • McLean, J.W.1    Saffman, P.G.2
  • 18
    • 84903717133 scopus 로고
    • Two-phase displacement in Hele-Shaw cells: Theory
    • Park, C. W.; Homsy, G. M. Two-phase displacement in Hele-Shaw cells: Theory. J. Fluid Mech. 139 (1985), 291-308.
    • (1985) J. Fluid Mech. , vol.139 , pp. 291-308
    • Park, C.W.1    Homsy, G.M.2
  • 19
    • 0004243252 scopus 로고
    • Perspectives in Physics. Academic, Boston
    • Pelce, P., ed. Dynamics of curved fronts. Perspectives in Physics. Academic, Boston, 1988.
    • (1988) Dynamics of Curved Fronts
    • Pelce, P.1
  • 20
    • 0001677455 scopus 로고
    • The effect of thin film variations and transverse curvature on the shape of fingers in a Hele-Shaw cell
    • Reinelt, D. A. The effect of thin film variations and transverse curvature on the shape of fingers in a Hele-Shaw cell. Phys. Fluids 30 (1987), no. 9, 2617-2623.
    • (1987) Phys. Fluids , vol.30 , Issue.9 , pp. 2617-2623
    • Reinelt, D.A.1
  • 21
    • 0023439567 scopus 로고
    • Interface conditions for two-phase displacement in Hele-Shaw cells
    • Reinelt, D. A. Interface conditions for two-phase displacement in Hele-Shaw cells. J. Fluid Mech. 183 (1987), 219-234.
    • (1987) J. Fluid Mech. , vol.183 , pp. 219-234
    • Reinelt, D.A.1
  • 22
    • 0022888394 scopus 로고
    • Viscous fingering in Hele-Shaw cells
    • Saffman, P. G. Viscous fingering in Hele-Shaw cells. J. Fluid Mech. 173 (1986), 73-94.
    • (1986) J. Fluid Mech. , vol.173 , pp. 73-94
    • Saffman, P.G.1
  • 23
    • 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. 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.2
  • 24
    • 0003545766 scopus 로고
    • NATO Advanced Science Institutes Series B: Physics. Plenum, New York
    • Segur, H; Tanveer, S.; Levine, H., eds. Asymptotics beyond all orders. NATO Advanced Science Institutes Series B: Physics, 284. Plenum, New York, 1991.
    • (1991) Asymptotics Beyond All Orders , pp. 284
    • Segur, H.1    Tanveer, S.2    Levine, H.3
  • 25
    • 35949017843 scopus 로고
    • Velocity selection and the Saffman-Taylor problem
    • Shraiman, B. I. Velocity selection and the Saffman-Taylor problem, Phys. Rev. Lett. 56 (1986), 2028-2031.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 2028-2031
    • Shraiman, B.I.1
  • 26
    • 0035218554 scopus 로고    scopus 로고
    • On the existence of finger solutions of the Hele-Shaw equation
    • Su, J. Z. On the existence of finger solutions of the Hele-Shaw equation. Nonlinearity 14 (2001), no. 1, 153-166.
    • (2001) Nonlinearity , vol.14 , Issue.1 , pp. 153-166
    • Su, J.Z.1
  • 27
    • 0000132672 scopus 로고
    • The effect of surface tension on the shape of a Hele-Shaw cell bubble
    • Tanveer, S. The effect of surface tension on the shape of a Hele-Shaw cell bubble. Phys. Fluids 29 (1986), no. 11, 3537-3548.
    • (1986) Phys. Fluids , vol.29 , Issue.11 , pp. 3537-3548
    • Tanveer, S.1
  • 28
    • 0001677449 scopus 로고
    • Analytic theory for the linear stability of the Saffman-Taylor finger
    • Tanveer, S. Analytic theory for the linear stability of the Saffman-Taylor finger. Phys. Fluids 30 (1987), no. 8, 2318-2329.
    • (1987) Phys. Fluids , vol.30 , Issue.8 , pp. 2318-2329
    • Tanveer, S.1
  • 29
    • 0001677454 scopus 로고
    • Analytic theory for the selection of a symmetric Saffman-Taylor finger in a Hele-Shaw cell
    • Tanveer, S. Analytic theory for the selection of a symmetric Saffman-Taylor finger in a Hele-Shaw cell. Phys. Fluids 30 (1987), no. 6, 1589-1605.
    • (1987) Phys. Fluids , vol.30 , Issue.6 , pp. 1589-1605
    • Tanveer, S.1
  • 30
    • 0007235268 scopus 로고
    • Analytic theory for the selection of Saffman-Taylor fingers in the presence of thin-film effects
    • Tanveer, S. Analytic theory for the selection of Saffman-Taylor fingers in the presence of thin-film effects. Proc. Roy. Soc. London Ser. A 428 (1990), no. 1875, 511-545.
    • (1990) Proc. Roy. Soc. London Ser. A , vol.428 , Issue.1875 , pp. 511-545
    • Tanveer, S.1
  • 31
    • 0033927876 scopus 로고    scopus 로고
    • Surprises in viscous fingering
    • Tanveer, S. Surprises in viscous fingering. J. Fluid Mech. 409 (2000), 273-308.
    • (2000) J. Fluid Mech. , vol.409 , pp. 273-308
    • Tanveer, S.1
  • 32
    • 0000395122 scopus 로고
    • Fingers in a Hele-Shaw cell with surface tension
    • Vanden-Broeck, J. M. Fingers in a Hele-Shaw cell with surface tension. Phys. Fluids 26 (1983), no. 8, 2033-2034.
    • (1983) Phys. Fluids , vol.26 , Issue.8 , pp. 2033-2034
    • Vanden-Broeck, J.M.1
  • 34
    • 0038271665 scopus 로고    scopus 로고
    • Rigorous results in steady finger selection in viscous fingering
    • in press
    • Xie, X.; Tanveer, S. Rigorous results in steady finger selection in viscous fingering. Arch. Ration. Mech. Anal., in press. Available at: http://www.math.ohio-state.edu/-tanveer/
    • Arch. Ration. Mech. Anal.
    • Xie, X.1    Tanveer, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.