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Volumn 35, Issue 1, 2004, Pages 211-244

Well-posedness of vortex sheets with surface tension

Author keywords

Kelvin Helmholtz instability; Surface tension; Vortex sheet

Indexed keywords


EID: 1342266714     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141002403869     Document Type: Article
Times cited : (125)

References (20)
  • 3
    • 0020191249 scopus 로고
    • Generalized vortex methods for free-surface flow problems
    • [BMO82]
    • [BMO82] G. BAKER, D. MEIRON, AND S. ORSZAG, Generalized vortex methods for free-surface flow problems, J. Fluid Mech., 123 (1982), pp. 477-501.
    • (1982) J. Fluid Mech. , vol.123 , pp. 477-501
    • Baker, G.1    Meiron, D.2    Orszag, S.3
  • 4
    • 84980139502 scopus 로고
    • The initial value problem for the Navier-Stokes equations with a free surface
    • [Bea81]
    • [Bea81] J. T. BEALE, The initial value problem for the Navier-Stokes equations with a free surface, Comm. Pure Appl. Math., 34 (1981), pp. 359-392.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 359-392
    • Beale, J.T.1
  • 5
    • 84990576574 scopus 로고
    • Growth rates for the linearized motion of fluid interfaces away from equilibrium
    • [BHL93]
    • [BHL93] J. T. BEALE, T. HOU, AND J. LOWENGRUB, Growth rates for the linearized motion of fluid interfaces away from equilibrium, Comm. Pure Appl. Math., 46 (1993), pp. 1269-1301.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 1269-1301
    • Beale, J.T.1    Hou, T.2    Lowengrub, J.3
  • 6
    • 1542680901 scopus 로고    scopus 로고
    • Convergence of a boundary integral method for water waves
    • [BHL96]
    • [BHL96] J. T. BEALE, T. Y. HOU, AND J. LOWENGRUB, Convergence of a boundary integral method for water waves, SIAM J. Numer. Anal., 33 (1996), pp. 1797-1843.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1797-1843
    • Beale, J.T.1    Hou, T.Y.2    Lowengrub, J.3
  • 7
    • 0003112033 scopus 로고
    • Helmholtz and Taylor instability
    • [Bir62], G. Birkhoff, R. Bellman, and C. C. Lin, eds., AMS, Providence, RI
    • [Bir62] G. BIRKHOFF, Helmholtz and Taylor instability, in Proceedings of Symposia in Applied Mathematics, Vol. 13, G. Birkhoff, R. Bellman, and C. C. Lin, eds., AMS, Providence, RI, 1962, pp. 55-76.
    • (1962) Proceedings of Symposia in Applied Mathematics , vol.13 , pp. 55-76
    • Birkhoff, G.1
  • 8
    • 0032340219 scopus 로고    scopus 로고
    • Convergence of a non-stiff boundary integral method for interfacial flows with surface tension
    • [CH96]
    • [CH96] H. CENICEROS AND T. HOU, Convergence of a non-stiff boundary integral method for interfacial flows with surface tension, Math. Comp., 67 (1998), pp. 137-182.
    • (1998) Math. Comp. , vol.67 , pp. 137-182
    • Ceniceros, H.1    Hou, T.2
  • 10
    • 0008283862 scopus 로고
    • Removing the stiffness from interfacial flows with surface tension
    • [HLS94]
    • [HLS94] T. HOU, J. LOWENGRUB, AND M. SHELLEY, Removing the stiffness from interfacial flows with surface tension, J. Comput. Phys., 114 (1994), pp. 312-338.
    • (1994) J. Comput. Phys. , vol.114 , pp. 312-338
    • Hou, T.1    Lowengrub, J.2    Shelley, M.3
  • 11
    • 0030870172 scopus 로고    scopus 로고
    • The long-time motion of vortex sheets with surface tension
    • [HLS97]
    • [HLS97] T. HOU, J. LOWENGRUB, AND M. SHELLEY, The long-time motion of vortex sheets with surface tension, Phys. Fluids, 9 (1997), pp. 1933-1954.
    • (1997) Phys. Fluids , vol.9 , pp. 1933-1954
    • Hou, T.1    Lowengrub, J.2    Shelley, M.3
  • 12
    • 1342277839 scopus 로고    scopus 로고
    • Well-posedness of the initial value problem for capillary-gravity waves
    • [Igu01]
    • [Igu01] T. IGUCHI, Well-posedness of the initial value problem for capillary-gravity waves, Funkcial. Ekvac., 44 (2001), pp. 219-241.
    • (2001) Funkcial. Ekvac. , vol.44 , pp. 219-241
    • Iguchi, T.1
  • 13
    • 0031522531 scopus 로고    scopus 로고
    • On the two-phase free boundary problem for two-dimensional water waves
    • [ITT97]
    • [ITT97] T. IGUCHI, N. TANAKA, AND A. TANI, On the two-phase free boundary problem for two-dimensional water waves, Math. Ann., 309 (1997), pp. 199-223.
    • (1997) Math. Ann. , vol.309 , pp. 199-223
    • Iguchi, T.1    Tanaka, N.2    Tani, A.3
  • 15
    • 85041150744 scopus 로고
    • [Saf95], Cambridge University Press, Cambridge, UK
    • [Saf95] P. G. SAFFMAN, Vortex Dynamics, Cambridge University Press, Cambridge, UK, 1995.
    • (1995) Vortex Dynamics
    • Saffman, P.G.1
  • 16
    • 0013266182 scopus 로고
    • A study of singularity formation in the Kelvin-Helmholtz instability with surface tension
    • [Sie95]
    • [Sie95] M. SIEGEL, A study of singularity formation in the Kelvin-Helmholtz instability with surface tension, SIAM J. Appl. Math., 55 (1995), pp. 865-891.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 865-891
    • Siegel, M.1
  • 17
    • 0003278082 scopus 로고    scopus 로고
    • Partial Differential Equations III: Nonlinear Equations
    • [Tay96], Springer-Verlag, New York
    • [Tay96] M. TAYLOR, Partial Differential Equations III: Nonlinear Equations, Appl. Math. Sci. 117, Springer-Verlag, New York, 1996.
    • (1996) Appl. Math. Sci. , vol.117
    • Taylor, M.1
  • 18
    • 0031506263 scopus 로고    scopus 로고
    • Well-posedness in Sobolev spaces of the full water wave problem in 2-D
    • [Wu97]
    • [Wu97] S. WU, Well-posedness in Sobolev spaces of the full water wave problem in 2-D, Invent. Math., 130 (1997), pp. 39-72.
    • (1997) Invent. Math. , vol.130 , pp. 39-72
    • Wu, S.1
  • 19
    • 0033446356 scopus 로고    scopus 로고
    • Well-posedness in Sobolev spaces of the full water wave problem in 3-D
    • [Wu99]
    • [Wu99] S. WU, Well-posedness in Sobolev spaces of the full water wave problem in 3-D, J. Amer. Math. Soc., 12 (1999), pp. 445-495.
    • (1999) J. Amer. Math. Soc. , vol.12 , pp. 445-495
    • Wu, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.