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Volumn 49, Issue 2, 1996, Pages 85-123

The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions

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EID: 0040488514     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199602)49:2<85::AID-CPA1>3.0.CO;2-2     Document Type: Article
Times cited : (251)

References (23)
  • 1
    • 45149137344 scopus 로고
    • Higher order nonlinear degenerate parabolic equations
    • Bernis, F., and Friedman, A., Higher order nonlinear degenerate parabolic equations, J. Differential Equations 83, 1990, pp. 179-206.
    • (1990) J. Differential Equations , vol.83 , pp. 179-206
    • Bernis, F.1    Friedman, A.2
  • 2
    • 0001460885 scopus 로고
    • Source type solutions of a fourth order nonlinear degenerate parabolic equation
    • Bernis, F., Peletier, L. A., and Williams, S. M., Source type solutions of a fourth order nonlinear degenerate parabolic equation, Nonlinear Anal. 18(3), 1992, pp. 217-234.
    • (1992) Nonlinear Anal. , vol.18 , Issue.3 , pp. 217-234
    • Bernis, F.1    Peletier, L.A.2    Williams, S.M.3
  • 3
    • 0038963159 scopus 로고
    • Nonlinear parabolic equations arising in semiconductor and viscous droplet models
    • N. G. Lloyd, W.-M. Ni, and L. A. Peletier, eds., Springer-Verlag, Basel
    • Bernis, F., Nonlinear parabolic equations arising in semiconductor and viscous droplet models, pp. 77-88 in: Nonlinear Diffusion Equations and Their Equilibrium States, vol. 3, N. G. Lloyd, W.-M. Ni, and L. A. Peletier, eds., Springer-Verlag, Basel, 1992.
    • (1992) Nonlinear Diffusion Equations and Their Equilibrium States , vol.3 , pp. 77-88
    • Bernis, F.1
  • 4
    • 0030169093 scopus 로고    scopus 로고
    • Symmetric singularities in lubrication-type equations for interface motion
    • to be published
    • Bertozzi, A., Symmetric singularities in lubrication-type equations for interface motion, SIAM J. Appl. Math., to be published.
    • SIAM J. Appl. Math.
    • Bertozzi, A.1
  • 6
    • 0002854269 scopus 로고
    • Singularities and similarities in interface flows
    • L. Sirovicli, ed., Springer, New York
    • Bertozzi, A. L., Brenner, M. P., Dupont, T. F., and Kadanoff, L. P., Singularities and similarities in interface flows, pp. 155-208 in: Applied Math. Sci. 100, L. Sirovicli, ed., Springer, New York, 1994.
    • (1994) Applied Math. Sci. , vol.100 , pp. 155-208
    • Bertozzi, A.L.1    Brenner, M.P.2    Dupont, T.F.3    Kadanoff, L.P.4
  • 7
    • 21844510002 scopus 로고
    • Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
    • Beretta, E., Bertsch, M., and Dal Passo, R., Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation, Arch. Rational Mech. Anal. 129, 1995, pp. 175-200.
    • (1995) Arch. Rational Mech. Anal. , vol.129 , pp. 175-200
    • Beretta, E.1    Bertsch, M.2    Dal Passo, R.3
  • 8
    • 0001241013 scopus 로고
    • Travelling wave solutions to thin film equations
    • Boatto, S., Kadanoff, L., and Olla, P., Travelling wave solutions to thin film equations, Phys. Rev. E 48, 1993, p. 4423.
    • (1993) Phys. Rev. E , vol.48 , pp. 4423
    • Boatto, S.1    Kadanoff, L.2    Olla, P.3
  • 9
    • 0011766069 scopus 로고
    • Spreading of droplets on a solid surface
    • Brenner, M., and Bertozzi, A., Spreading of droplets on a solid surface, Phys. Rev. Lett. 71(4), 1993, pp. 593-596.
    • (1993) Phys. Rev. Lett. , vol.71 , Issue.4 , pp. 593-596
    • Brenner, M.1    Bertozzi, A.2
  • 11
    • 0001007002 scopus 로고
    • Finite-time singularity formation in Hele Shaw systems
    • Dupont, T. F., Goldstein, R. E., Kadanoff, L. P., and Zhou, S.-M., Finite-time singularity formation in Hele Shaw systems, Phys. Rev. E 1993, 47(6), pp. 4182-4196.
    • (1993) Phys. Rev. E , vol.47 , Issue.6 , pp. 4182-4196
    • Dupont, T.F.1    Goldstein, R.E.2    Kadanoff, L.P.3    Zhou, S.-M.4
  • 12
    • 0000459108 scopus 로고
    • The moving contact line: The slip boundary condition
    • Dussan, V. E. B., The moving contact line: The slip boundary condition, J. Fluid Mech. 77, 1976, pp. 665-684.
    • (1976) J. Fluid Mech. , vol.77 , pp. 665-684
    • Dussan, V.E.B.1
  • 13
    • 0016091290 scopus 로고
    • On the motion of a fluid-fluid interface along a solid surface
    • Dussan, V. E. B., and Davis, S., On the motion of a fluid-fluid interface along a solid surface, J. Fluid Mech. 65, 1974, pp. 71-95.
    • (1974) J. Fluid Mech. , vol.65 , pp. 71-95
    • Dussan, V.E.B.1    Davis, S.2
  • 14
    • 0026205647 scopus 로고
    • Non-isothermal spreading of liquid drops on horizontal plates
    • Ehrhard, P., and Davis, S. H., Non-isothermal spreading of liquid drops on horizontal plates, J. Fluid. Mech. 229, 1991, pp. 365-388.
    • (1991) J. Fluid. Mech. , vol.229 , pp. 365-388
    • Ehrhard, P.1    Davis, S.H.2
  • 15
    • 0017926990 scopus 로고
    • On the motion of a small viscous droplet that wets a surface
    • Greenspan, H. P., On the motion of a small viscous droplet that wets a surface, J. Fluid Mech. 84, 1978, pp. 125-143.
    • (1978) J. Fluid Mech. , vol.84 , pp. 125-143
    • Greenspan, H.P.1
  • 16
    • 0026103110 scopus 로고
    • The effect of the contact line on droplet spreading
    • Haley, P. J., and Miksis, M. J., The effect of the contact line on droplet spreading, J. Fluid Mech. 223, 1991, pp. 57-81.
    • (1991) J. Fluid Mech. , vol.223 , pp. 57-81
    • Haley, P.J.1    Miksis, M.J.2
  • 17
    • 0001452384 scopus 로고
    • Rival contact-angle models and the spreading of drops
    • Hocking, L. M., Rival contact-angle models and the spreading of drops, J. Fluid Mechanics 239, 1992, pp. 671-681.
    • (1992) J. Fluid Mechanics , vol.239 , pp. 671-681
    • Hocking, L.M.1
  • 18
    • 0014995788 scopus 로고
    • Hydrodynamic model of steady movement of a solid/liquid/fluid contact line
    • Huh, C., and Scriven, L. E., Hydrodynamic model of steady movement of a solid/liquid/fluid contact line, J. Colloid Interface Sci. 35, 1971, pp. 85-101.
    • (1971) J. Colloid Interface Sci. , vol.35 , pp. 85-101
    • Huh, C.1    Scriven, L.E.2
  • 22
    • 0020845295 scopus 로고
    • Spreading of droplets of nonvolatile liquids over a flat solid
    • Starov, V. M., Spreading of droplets of nonvolatile liquids over a flat solid, J. Colloid Interface Sci. USSR 45, 1983.
    • (1983) J. Colloid Interface Sci. USSR , vol.45
    • Starov, V.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.