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Volumn 53, Issue 12, 2000, Pages 1536-1602

On the motion of the free surface of a liquid

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EID: 0034368951     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200012)53:12<1536::AID-CPA2>3.0.CO;2-Q     Document Type: Article
Times cited : (245)

References (18)
  • 1
    • 0027534286 scopus 로고
    • Singularity formation during Rayleigh-Taylor instability
    • Baker, G.; Caflisch, R. E.; Siegel, M. Singularity formation during Rayleigh-Taylor instability. J. Fluid Mech. 252 (1993), 51-78.
    • (1993) J. Fluid Mech. , vol.252 , pp. 51-78
    • Baker, G.1    Caflisch, R.E.2    Siegel, M.3
  • 2
    • 0007028784 scopus 로고
    • Remarks on the abstract form of nonlinear Cauchy-Kovalevsky theorems
    • Baouendi, M. S.; Goulaouic, C. Remarks on the abstract form of nonlinear Cauchy-Kovalevsky theorems. Comm. Partial Differential Equations 2 (1977), no. 11, 1151-1162.
    • (1977) Comm. Partial Differential Equations , vol.2 , Issue.11 , pp. 1151-1162
    • Baouendi, M.S.1    Goulaouic, C.2
  • 3
    • 84990576574 scopus 로고
    • Growth rates for the linearized motion of fluid interfaces away from equilibrium
    • Beale, J. T.; Hou, T. Y.; Lowengrub, J. S. Growth rates for the linearized motion of fluid interfaces away from equilibrium. Comm. Pure Appl. Math. 46 (1993), no. 9, 1269-1301.
    • (1993) Comm. Pure Appl. Math. , vol.46 , Issue.9 , pp. 1269-1301
    • Beale, J.T.1    Hou, T.Y.2    Lowengrub, J.S.3
  • 4
    • 21844519646 scopus 로고
    • Self-gravitating relativistic fluids: A two-phase model
    • Christodoulou, D. Self-gravitating relativistic fluids: a two-phase model. Arch. Rational Mech. Anal. 130 (1995), no. 4, 343-400.
    • (1995) Arch. Rational Mech. Anal. , vol.130 , Issue.4 , pp. 343-400
    • Christodoulou, D.1
  • 5
    • 0003333181 scopus 로고
    • The global nonlinear stability of the Minkowski space
    • Princeton University Press, Princeton, N.J.
    • Christodoulou, D.; Klainerman, S. The global nonlinear stability of the Minkowski space. Princeton Mathematical Series, 41. Princeton University Press, Princeton, N.J., 1993.
    • (1993) Princeton Mathematical Series , vol.41
    • Christodoulou, D.1    Klainerman, S.2
  • 7
    • 0001688084 scopus 로고
    • An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits
    • Craig, W. An existence theory for water waves and the Boussinesq and Korteweg-de Vries scaling limits. Comm. Partial Differential Equations 10 (1985), no. 8, 787-1003.
    • (1985) Comm. Partial Differential Equations , vol.10 , Issue.8 , pp. 787-1003
    • Craig, W.1
  • 8
    • 0011555392 scopus 로고
    • The equations of motion of a perfect fluid with free boundary are not well posed
    • Ebin, D. G. The equations of motion of a perfect fluid with free boundary are not well posed. Comm. Partial Differential Equations 12 (1987), no. 10, 1175-1201.
    • (1987) Comm. Partial Differential Equations , vol.12 , Issue.10 , pp. 1175-1201
    • Ebin, D.G.1
  • 9
    • 0041152199 scopus 로고    scopus 로고
    • Oral Communication
    • Ebin, D. G. Oral communication. 1997.
    • (1997)
    • Ebin, D.G.1
  • 10
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations
    • American Mathematical Society, Providence, R.I.
    • Evans, L. C. Partial differential equations. Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, R.I., 1998.
    • (1998) Graduate Studies in Mathematics , vol.19
    • Evans, L.C.1
  • 11
    • 0003259059 scopus 로고
    • Elliptic partial differential equations of second order
    • Second edition. Springer, Berlin-New York
    • Gilbarg, D.; Trudinger, N. S. Elliptic partial differential equations of second order. Second edition. Grundlehren der Mathematischen Wissenschaften, 224. Springer, Berlin-New York, 1983.
    • (1983) Grundlehren der Mathematischen Wissenschaften , vol.224
    • Gilbarg, D.1    Trudinger, N.S.2
  • 12
    • 0000306561 scopus 로고
    • The Cauchy-Poisson problem
    • Sredy Vyp. 18 Dinamika Zidkost. so Svobod. Granicami
    • Nalimov, V. I, The Cauchy-Poisson problem. Dinamika Splošn. Sredy Vyp. 18 Dinamika Zidkost. so Svobod. Granicami (1974), 104-210, 254.
    • (1974) Dinamika Splošn. , pp. 104-210
    • Nalimov, V.I.1
  • 13
    • 84972513394 scopus 로고
    • A note on a theorem of Nirenberg
    • Nishida, T. A note on a theorem of Nirenberg. J. Differential Geom. 12 (1977), no. 4, 629-633.
    • (1977) J. Differential Geom. , vol.12 , Issue.4 , pp. 629-633
    • Nishida, T.1
  • 15
    • 0038247451 scopus 로고
    • Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability
    • Sulem, C.; Sulem, P.-L.; Bardos, C.; Frisch, U. Finite time analyticity for the two- and three-dimensional Kelvin-Helmholtz instability. Comm. Math. Phys. 80 (1981), no. 4, 485-516.
    • (1981) Comm. Math. Phys. , vol.80 , Issue.4 , pp. 485-516
    • Sulem, C.1    Sulem, P.-L.2    Bardos, C.3    Frisch, U.4
  • 16
    • 0031506263 scopus 로고    scopus 로고
    • Well-posedness in Sobolev spaces of the full water wave problem in 2-D
    • Wu, S. Well-posedness in Sobolev spaces of the full water wave problem in 2-D. Invent. Math. 130 (1997), no. 1, 39-72.
    • (1997) Invent. Math. , vol.130 , Issue.1 , pp. 39-72
    • Wu, S.1
  • 17
    • 0033446356 scopus 로고    scopus 로고
    • Well-posedness in Sobolev spaces of the full water wave problem in 3-D
    • Wu, S. Well-posedness in Sobolev spaces of the full water wave problem in 3-D. J. Amer. Math. Soc. 12 (1999), no. 2, 445-495.
    • (1999) J. Amer. Math. Soc. , vol.12 , Issue.2 , pp. 445-495
    • Wu, S.1
  • 18
    • 85009585833 scopus 로고
    • Gravity waves on the free surface of an incompressible perfect fluid of finite depth
    • Yosihara, H. Gravity waves on the free surface of an incompressible perfect fluid of finite depth. Publ. Res. Inst. Math. Sci. 18 (1982), no. 1, 49-96.
    • (1982) Publ. Res. Inst. Math. Sci. , vol.18 , Issue.1 , pp. 49-96
    • Yosihara, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.