메뉴 건너뛰기




Volumn 100, Issue 4, 1998, Pages 311-363

The interaction of shocks with dispersive waves II. Incompressible-integrable limit

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIVE WAVES;

EID: 0040114821     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00080     Document Type: Article
Times cited : (1)

References (29)
  • 1
    • 84972498389 scopus 로고
    • The nonlinear Schrödinger limit and the initial layer of the Zakharov equations
    • T. OZAWA and Y. TSUTSUMI, The nonlinear Schrödinger limit and the initial layer of the Zakharov equations, Differential Integral Equations 5(4):721 (1992).
    • (1992) Differential Integral Equations , vol.5 , Issue.4 , pp. 721
    • Ozawa, T.1    Tsutsumi, Y.2
  • 2
    • 0000375624 scopus 로고
    • Formulation and interaction of sonic-Langmuir solitons
    • N. YAJIMA and M. OKAWA, Formulation and interaction of sonic-Langmuir solitons, Progr. Theoret. Phys. 56:1719 (1976).
    • (1976) Progr. Theoret. Phys. , vol.56 , pp. 1719
    • Yajima, N.1    Okawa, M.2
  • 3
    • 0041001953 scopus 로고
    • Collapse of Langmuir waves
    • V. E. ZAKHAROV, Collapse of Langmuir waves, Soviet Phys. 17:153 (1977).
    • (1977) Soviet Phys. , vol.17 , pp. 153
    • Zakharov, V.E.1
  • 4
    • 85153217893 scopus 로고    scopus 로고
    • Ph.D. Dissertation, Dept. of Mathematics, University of Illinois, Urbana-Champaign
    • R. M. AXEL, The interaction of shock waves and dispersive waves, Ph.D. Dissertation, Dept. of Mathematics, University of Illinois, Urbana-Champaign, 1996.
    • (1996) The Interaction of Shock Waves and Dispersive Waves
    • Axel, R.M.1
  • 5
    • 0041357239 scopus 로고    scopus 로고
    • The interaction of shocks with dispersive waves. I. Weak coupling limit
    • R. M. AXEL and P. K. NEWTON, The interaction of shocks with dispersive waves. I. Weak coupling limit. Stud. Appl. Math. 96:201-246 (1996).
    • (1996) Stud. Appl. Math. , vol.96 , pp. 201-246
    • Axel, R.M.1    Newton, P.K.2
  • 6
    • 85153194860 scopus 로고    scopus 로고
    • Amplitude equation models tor the interaction of shocks with dispersive wave envelopes
    • (A. Guran and J. Wegner, Eds.), Birkhäuser
    • P. K. NEWTON and R. M. AXEL, Amplitude equation models tor the interaction of shocks with dispersive wave envelopes, in Nonlinear Wave Phenomenon (A. Guran and J. Wegner, Eds.), Birkhäuser, 1998.
    • (1998) Nonlinear Wave Phenomenon
    • Newton, P.K.1    Axel, R.M.2
  • 8
    • 0039815296 scopus 로고
    • Shock waves, increase of entropy and loss of information
    • (S. S. Chern, Ed.), MSRI Pub. 2, Springer
    • P. D. LAX, Shock waves, increase of entropy and loss of information, in Seminar on Nonlinear PDE (S. S. Chern, Ed.), MSRI Pub. 2, Springer, 1984.
    • (1984) Seminar on Nonlinear PDE
    • Lax, P.D.1
  • 9
    • 84980156074 scopus 로고
    • Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
    • S. KLAINERMAN and A. MAJDA, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math. 34:481-524 (1981).
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 481-524
    • Klainerman, S.1    Majda, A.2
  • 10
    • 0000014949 scopus 로고
    • The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence
    • S. H. SCHOCHET and M. I. WEINSTEIN, The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence, Comm. Math. Phys. 106:569 (1986).
    • (1986) Comm. Math. Phys. , vol.106 , pp. 569
    • Schochet, S.H.1    Weinstein, M.I.2
  • 11
    • 0040407769 scopus 로고
    • Wave interactions in the singular Zakharov system
    • P. K. NEWTON, Wave interactions in the singular Zakharov system, J. Math. Phys. 32(2):431 (1991).
    • (1991) J. Math. Phys. , vol.32 , Issue.2 , pp. 431
    • Newton, P.K.1
  • 12
    • 0022904148 scopus 로고
    • Acoustic monitoring of ocean gyres
    • W. MUNC, Acoustic monitoring of ocean gyres, J. Fluid Mech. 173:43-53 (1986).
    • (1986) J. Fluid Mech. , vol.173 , pp. 43-53
    • Munc, W.1
  • 13
    • 0019912424 scopus 로고
    • SOFAR propagation paths from Australia to Bermuda: Comparison of signal speed algorithms and experiments
    • R. C. SHOCKLEY, J. NORTHROP, and P. G. HANSEN, SOFAR propagation paths from Australia to Bermuda: Comparison of signal speed algorithms and experiments, J. Acoust. Soc. Amer. 71:51-60 (1982).
    • (1982) J. Acoust. Soc. Amer. , vol.71 , pp. 51-60
    • Shockley, R.C.1    Northrop, J.2    Hansen, P.G.3
  • 14
    • 0003943397 scopus 로고
    • Atmosphere-ocean dynamics
    • Academic Press, San Diego
    • A. GILL, Atmosphere-Ocean Dynamics, International Geophysics Series Vol. 30, Academic Press, San Diego, 1982.
    • (1982) International Geophysics Series , vol.30
    • Gill, A.1
  • 15
    • 0014777758 scopus 로고
    • Penetration of a sonic boom into water
    • R. COOK, Penetration of a sonic boom into water, J. Acoust. Soc. Am. 47(5):1430 (1970).
    • (1970) J. Acoust. Soc. Am. , vol.47 , Issue.5 , pp. 1430
    • Cook, R.1
  • 16
    • 0000097782 scopus 로고
    • Underwater sound pressure from sonic booms
    • K. SAWYERS, Underwater sound pressure from sonic booms, J. Acoust. Soc. Amer. 44(2):523 (1968).
    • (1968) J. Acoust. Soc. Amer. , vol.44 , Issue.2 , pp. 523
    • Sawyers, K.1
  • 17
    • 0028833279 scopus 로고
    • The effect of supersonic aircraft speed on the penetration of sonic boom noise into the ocean
    • V. SPARROW, The effect of supersonic aircraft speed on the penetration of sonic boom noise into the ocean, J. Acoust. Soc. Amer. 97(1) (1995).
    • (1995) J. Acoust. Soc. Amer. , vol.97 , Issue.1
    • Sparrow, V.1
  • 19
    • 11944274852 scopus 로고
    • Shock-wave propagation in the nonuniform interstellar medium
    • G. S. BISNOVATYI-KOGAN and S. A. SILICH, Shock-wave propagation in the nonuniform interstellar medium, Rev. Mod. Phys. 67(3):661 (1995).
    • (1995) Rev. Mod. Phys. , vol.67 , Issue.3 , pp. 661
    • Bisnovatyi-Kogan, G.S.1    Silich, S.A.2
  • 21
    • 0008442353 scopus 로고
    • Observations of interplanetary shocks: Recent progress
    • E. J. SMITH, Observations of interplanetary shocks: Recent progress, Space Sci. Rev. 34:101 (1983).
    • (1983) Space Sci. Rev. , vol.34 , pp. 101
    • Smith, E.J.1
  • 24
    • 0003485644 scopus 로고    scopus 로고
    • Multiple scale and singular perturbation Methods
    • Springer
    • J KEVORKIAN and J. COLE, Multiple Scale and Singular Perturbation Methods, Applied Math. Sci. Vol. 114, Springer, 1996.
    • (1996) Applied Math. Sci. , vol.114
    • Kevorkian, J.1    Cole, J.2
  • 28
    • 85153222281 scopus 로고
    • Stability of solutions to a destabilized Hopf equation
    • B. HAYES, Stability of solutions to a destabilized Hopf equation, Comm. Pure App. Math. 67:1-10 (1995).
    • (1995) Comm. Pure App. Math. , vol.67 , pp. 1-10
    • Hayes, B.1
  • 29
    • 0001682883 scopus 로고
    • Nonlinear resonance for quasilinear hyperbolic equation
    • TAI-PING LIU, Nonlinear resonance for quasilinear hyperbolic equation, J. Math. Phys. 28(11) (1987).
    • (1987) J. Math. Phys. , vol.28 , Issue.11
    • Liu, T.-P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.