메뉴 건너뛰기




Volumn 506, Issue , 2004, Pages 245-254

Local stability of Gerstner's waves

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; FLUID MECHANICS; GRAVITY WAVES; HYDRODYNAMICS;

EID: 2442646216     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004008444     Document Type: Article
Times cited : (40)

References (33)
  • 1
    • 0003566901 scopus 로고
    • Planar rotational flows of an ideal fluid
    • ABRASHKIN, A. A. & YAKUBOVICH, E. I. 1984 Planar rotational flows of an ideal fluid. Sov. Phys. Dokl. 29, 370-371.
    • (1984) Sov. Phys. Dokl. , vol.29 , pp. 370-371
    • Abrashkin, A.A.1    Yakubovich, E.I.2
  • 2
    • 0023597086 scopus 로고
    • Three-dimensional instabilities in quasi-two-dimensional inviscid flows
    • ed. R. W. Miksad et al. ASME
    • BAYLY, B. J. 1987 Three-dimensional instabilities in quasi-two-dimensional inviscid flows. In Nonlinear Wave Interactions in Fluids (ed. R. W. Miksad et al pp. 71-77. ASME.
    • (1987) Nonlinear Wave Interactions in Fluids , pp. 71-77
    • Bayly, B.J.1
  • 3
    • 0002234683 scopus 로고
    • Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
    • BAYLY, B. J. 1988 Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows. Phys. Fluids 31, 56-64.
    • (1988) Phys. Fluids , vol.31 , pp. 56-64
    • Bayly, B.J.1
  • 4
    • 0029656539 scopus 로고    scopus 로고
    • Three-dimensional stability of elliptical vortex columns in external strain flows
    • BAYLY, B. J., HOLM, D. D. & LIFSCHITZ, A. 1996 Three-dimensional stability of elliptical vortex columns in external strain flows. Phil. Trans. R. Soc. Lond. A 354, 895-926.
    • (1996) Phil. Trans. R. Soc. Lond. A , vol.354 , pp. 895-926
    • Bayly, B.J.1    Holm, D.D.2    Lifschitz, A.3
  • 5
    • 0024683327 scopus 로고
    • Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form
    • CHILDRESS, S., IERLEY, G. R., SPIEGEL, E. A. & YOUNG, W. R. 1989 Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form. J. Fluid Mech. 203, 1-22.
    • (1989) J. Fluid Mech. , vol.203 , pp. 1-22
    • Childress, S.1    Ierley, G.R.2    Spiegel, E.A.3    Young, W.R.4
  • 6
    • 0035900644 scopus 로고    scopus 로고
    • Edge waves along a sloping beach
    • CONSTANTIN, A. 2001 Edge waves along a sloping beach. J. Phys. A 34, 9723-9731.
    • (2001) J. Phys. A , vol.34 , pp. 9723-9731
    • Constantin, A.1
  • 7
    • 0033489572 scopus 로고    scopus 로고
    • Nonlinear gravity and capillary-gravity waves
    • DIAS, F. & KHARIF, C. 1999 Nonlinear gravity and capillary-gravity waves. Annu. Rev. Fluid Mech. 31, 301-346.
    • (1999) Annu. Rev. Fluid Mech. , vol.31 , pp. 301-346
    • Dias, F.1    Kharif, C.2
  • 8
    • 0018107009 scopus 로고
    • A note on the stability of steady inviscid helical gas flows
    • ECKHOFF, K. S. & STORESLETTEN, L. 1978 A note on the stability of steady inviscid helical gas flows. J. Fluid Mech. 89, 401-411.
    • (1978) J. Fluid Mech. , vol.89 , pp. 401-411
    • Eckhoff, K.S.1    Storesletten, L.2
  • 9
    • 67649553894 scopus 로고    scopus 로고
    • Localized instabilities in fluids
    • (ed. S. Friedlander and D. Serre), North-Holland
    • FRIEDLANDER, S. & LIPTON-LIFSCHITZ, A. 2003 Localized instabilities in fluids. In Handbook of Mathematical Fluid Dynamics. vol. 2 (ed. S. Friedlander & D. Serre), pp. 289-354. North-Holland.
    • (2003) Handbook of Mathematical Fluid Dynamics , vol.2 , pp. 289-354
    • Friedlander, S.1    Lipton-Lifschitz, A.2
  • 10
    • 6944255117 scopus 로고
    • Instability criteria for the flow of an inviscid incompressible fluid
    • FRIEDLANDER, S. & VISHIK, M. M. 1991 Instability criteria for the flow of an inviscid incompressible fluid. Phys. Rev. Lett. 66, 2204-2206.
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2204-2206
    • Friedlander, S.1    Vishik, M.M.2
  • 11
    • 0002030444 scopus 로고
    • Instability criteria for steady flows of a perfect fluid
    • FRIEDLANDER, S. & VISHIK, M. M. 1992 Instability criteria for steady flows of a perfect fluid. Chaos 2, 455-460.
    • (1992) Chaos , vol.2 , pp. 455-460
    • Friedlander, S.1    Vishik, M.M.2
  • 12
    • 0036646366 scopus 로고    scopus 로고
    • Radar backscattering from Gerstner's sea surface wave
    • FUKS, I. M. & VORONOVICH, A. G. 2002 Radar backscattering from Gerstner's sea surface wave. Waves Random Media 12, 321-339.
    • (2002) Waves Random Media , vol.12 , pp. 321-339
    • Fuks, I.M.1    Voronovich, A.G.2
  • 13
    • 0035951041 scopus 로고    scopus 로고
    • Zonal approach to centrifugal, elliptic and hyperbolic instabilities in Stuart vortices with external rotation
    • GODEFERD, F. S., CAMBON, C. & LEBLANC, S. 2001 Zonal approach to centrifugal, elliptic and hyperbolic instabilities in Stuart vortices with external rotation. J. Fluid Mech. 449, 1-37.
    • (2001) J. Fluid Mech. , vol.449 , pp. 1-37
    • Godeferd, F.S.1    Cambon, C.2    Leblanc, S.3
  • 15
    • 2442713150 scopus 로고
    • 6th edn. Cambridge University Press
    • LAMB, H. 1932 Hyrodynamics. 6th edn. Cambridge University Press.
    • (1932) Hyrodynamics
    • Lamb, H.1
  • 16
    • 0031280565 scopus 로고    scopus 로고
    • Stability of stagnation points in rotating flows
    • LEBLANC, S. 1997 Stability of stagnation points in rotating flows. Phys. Fluids 9, 3566-3569.
    • (1997) Phys. Fluids , vol.9 , pp. 3566-3569
    • Leblanc, S.1
  • 17
    • 0033862623 scopus 로고    scopus 로고
    • Destabilization of a vortex by acoustic waves
    • LEBLANC, S. 2000 Destabilization of a vortex by acoustic waves. J. Fluid Mech. 414, 315-337.
    • (2000) J. Fluid Mech. , vol.414 , pp. 315-337
    • Leblanc, S.1
  • 18
    • 0035504406 scopus 로고    scopus 로고
    • Acoustic excitation of vortex instabilities
    • LEBLANC, S. 2001 Acoustic excitation of vortex instabilities. Phys. Fluids 13, 3496-3499.
    • (2001) Phys. Fluids , vol.13 , pp. 3496-3499
    • Leblanc, S.1
  • 19
    • 0034326406 scopus 로고    scopus 로고
    • Three-dimensional instability of a multipolar vortex in a rotating flow
    • LE DIZÈS, S. 2000 Three-dimensional instability of a multipolar vortex in a rotating flow. Phys. Fluids 12, 2762-2774.
    • (2000) Phys. Fluids , vol.12 , pp. 2762-2774
    • Le Dizès, S.1
  • 20
    • 0001530252 scopus 로고
    • On the instability of certain motions of an ideal incompressible fluid
    • LIFSCHITZ, A. 1994 On the instability of certain motions of an ideal incompressible fluid. Adv. Appl. Maths 15, 404-436.
    • (1994) Adv. Appl. Maths , vol.15 , pp. 404-436
    • Lifschitz, A.1
  • 21
    • 0025960023 scopus 로고
    • Local stability conditions in fluid dynamics
    • LIFSCHITZ, A. & HAMEIRI, E. 1991 Local stability conditions in fluid dynamics. Phys. Fluids A 3, 2644-2651.
    • (1991) Phys. Fluids A , vol.3 , pp. 2644-2651
    • Lifschitz, A.1    Hameiri, E.2
  • 23
    • 0026789259 scopus 로고
    • Evolution of a short surface wave on a very long surface wave of finite amplitude
    • NACIRI, M. & MEI, C. C. 1992 Evolution of a short surface wave on a very long surface wave of finite amplitude. J. Fluid Mech. 235, 415-452.
    • (1992) J. Fluid Mech. , vol.235 , pp. 415-452
    • Naciri, M.1    Mei, C.C.2
  • 24
    • 0014863668 scopus 로고
    • Surface waves with rotation: An exact solution
    • POLLARD, R. T. 1970 Surface waves with rotation: An exact solution. J. Geophys. Res. 75, 5895-5898.
    • (1970) J. Geophys. Res. , vol.75 , pp. 5895-5898
    • Pollard, R.T.1
  • 25
    • 0023770258 scopus 로고
    • Hamiltonian fluid mechanics
    • SALMON, R. 1988 Hamiltonian fluid mechanics. Annu. Rev. Fluid Mech. 20, 225-256.
    • (1988) Annu. Rev. Fluid Mech. , vol.20 , pp. 225-256
    • Salmon, R.1
  • 26
    • 0000286944 scopus 로고
    • Mathematical principles of classical fluid mechanics
    • (ed. S. Flügge and C. Truesdell), Springer
    • SERRIN, J. 1959 Mathematical principles of classical fluid mechanics. In Handbuch der Physik, vol. 8 (ed. S. Flügge & C. Truesdell), pp. 125-263. Springer.
    • (1959) Handbuch Der Physik , vol.8 , pp. 125-263
    • Serrin, J.1
  • 27
    • 0033922050 scopus 로고    scopus 로고
    • Three-dimensional centrifugal-type instabilities of two-dimensional flows in rotating systems
    • SIPP, D. & JACQUIN, L. 2000 Three-dimensional centrifugal-type instabilities of two-dimensional flows in rotating systems. Phys. Fluids 12, 1740-1748.
    • (2000) Phys. Fluids , vol.12 , pp. 1740-1748
    • Sipp, D.1    Jacquin, L.2
  • 28
    • 0002585506 scopus 로고
    • Nonlinear Euler partial differential equations: Singularities in their solution
    • (ed. D. J. Benney, F. H. Shu and C. Yuan), World Scientific
    • STUART, J. T. 1987 Nonlinear Euler partial differential equations: Singularities in their solution. In Symp. to Honor C. C. Lin (ed. D. J. Benney, F. H. Shu & C. Yuan), pp. 81-95. World Scientific.
    • (1987) Symp. to Honor C. C. Lin , pp. 81-95
    • Stuart, J.T.1
  • 29
    • 0032340232 scopus 로고    scopus 로고
    • Singularities in three-dimensional compressible Euler flows with vorticity
    • STUART, J. T. 1998 Singularities in three-dimensional compressible Euler flows with vorticity. Theor. Comput. Fluid Dyn. 10, 385-391.
    • (1998) Theor. Comput. Fluid Dyn. , vol.10 , pp. 385-391
    • Stuart, J.T.1
  • 31
    • 0035949730 scopus 로고    scopus 로고
    • Matrix approach to Lagrangian fluid dynamics
    • YAKUBOVICH, E. I. & ZENKOVICH, D. A. 2001 Matrix approach to Lagrangian fluid dynamics. J. Fluid Mech. 443, 167-196.
    • (2001) J. Fluid Mech. , vol.443 , pp. 167-196
    • Yakubovich, E.I.1    Zenkovich, D.A.2
  • 32
    • 84859935952 scopus 로고    scopus 로고
    • Matrix Fluid dynamics
    • (ed. A. G. Litvak and N. Novgorod), e-Print arXiv:physics/0110004
    • YAKUBOVICH, E. I. & ZENKOVICH, D. A. 2002 Matrix Fluid dynamics. In Intl Conf. Progress in Nonlinear Science, vol. 2 (ed. A. G. Litvak & N. Novgorod), pp. 282-287. e-Print arXiv:physics/0110004.
    • (2002) Intl Conf. Progress in Nonlinear Science , vol.2 , pp. 282-287
    • Yakubovich, E.I.1    Zenkovich, D.A.2
  • 33
    • 0345801447 scopus 로고    scopus 로고
    • On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid
    • YUDOVICH, V. I. 2000 On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid. Chaos 10, 705-719.
    • (2000) Chaos , vol.10 , pp. 705-719
    • Yudovich, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.