메뉴 건너뛰기




Volumn 103, Issue 4, 1999, Pages 279-337

Quasiperiodic solutions in weakly nonlinear gas dynamics. Part I. Numerical results in the inviscid case

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL RESULTS; QUASI-PERIODIC SOLUTION; WEAKLY NON-LINEAR;

EID: 0000311896     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.1034137     Document Type: Article
Times cited : (26)

References (33)
  • 1
    • 0000443629 scopus 로고
    • A canonical system of integrodifferential equations arising in resonant nonlinear acoustics
    • A. MAJDA, R. ROSALES, and M. SCHONBECK, A canonical system of integrodifferential equations arising in resonant nonlinear acoustics, Stud. Appl. Math. 79:205-262 (1988).
    • (1988) Stud. Appl. Math. , vol.79 , pp. 205-262
    • Majda, A.1    Rosales, R.2    Schonbeck, M.3
  • 6
    • 85153274621 scopus 로고
    • Resonantly interacting weakly nonlinear hyperbolic waves. II. Several space variables
    • J. K. HUNTER, A. MAJDA, and R. ROSALES, Resonantly interacting weakly nonlinear hyperbolic waves. II. Several space variables, Stud. Appl. Math. 74:117-138 (1986).
    • (1986) Stud. Appl. Math. , vol.74 , pp. 117-138
    • Hunter, J.K.1    Majda, A.2    Rosales, R.3
  • 7
    • 0021502758 scopus 로고
    • Resonantly interacting weakly nonlinear hyperbolic waves. I. A single space variable
    • A. MAJDA and R. ROSALES, Resonantly interacting weakly nonlinear hyperbolic waves. I. A single space variable, Stud. Appl. Math. 71:149-179 (1984).
    • (1984) Stud. Appl. Math. , vol.71 , pp. 149-179
    • Majda, A.1    Rosales, R.2
  • 8
    • 0000348369 scopus 로고
    • Resonant interactions between waves. The case of discrete oscillations
    • F. P. BRETHERTON, Resonant interactions between waves. The case of discrete oscillations, J. Fluid Mech. 20:457-479 (1964).
    • (1964) J. Fluid Mech. , vol.20 , pp. 457-479
    • Bretherton, F.P.1
  • 10
    • 0041071730 scopus 로고    scopus 로고
    • Interaction of large scale equatorial waves and dispersion of Kelvin waves through topographic resonances
    • A. J. MAJDA, R. ROSALES, E. G. TABAK, and C. V. TURNER, Interaction of large scale equatorial waves and dispersion of Kelvin waves through topographic resonances, Submitted to J. Atmos. Sci., 1997.
    • (1997) J. Atmos. Sci.
    • Majda, A.J.1    Rosales, R.2    Tabak, E.G.3    Turner, C.V.4
  • 11
    • 84980182288 scopus 로고
    • Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws
    • T. P. LIU, Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws, Comm. Pure Appl. Math. 39:585-610 (1977).
    • (1977) Comm. Pure Appl. Math. , vol.39 , pp. 585-610
    • Liu, T.P.1
  • 12
    • 84980187336 scopus 로고
    • Linear and nonlinear large-time behaviour of solutions of hyperbolic conservation laws
    • T. P. LIU, Linear and nonlinear large-time behaviour of solutions of hyperbolic conservation laws, Comm. Pure Appl. Math. 30:767-796 (1977).
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 767-796
    • Liu, T.P.1
  • 13
    • 0039292596 scopus 로고
    • Numerical study of oscillatory solutions of the gas dynamic equations
    • W. E. and H. YANG, Numerical study of oscillatory solutions of the gas dynamic equations, Stud. Appl. Math. 85:29-52 (1991).
    • (1991) Stud. Appl. Math. , vol.85 , pp. 29-52
    • E, W.1    Yang, H.2
  • 15
    • 0003325994 scopus 로고
    • Decay of solutions of systems of nonlinear hyperbolic conservation laws
    • American Mathematical Society, Providence, Rhode Island
    • J. GLIMM and P. D. LAX, Decay of solutions of systems of nonlinear hyperbolic conservation laws, In Memoirs of the American Mathematical Society, Vol. 101, American Mathematical Society, Providence, Rhode Island, 1970.
    • (1970) Memoirs of the American Mathematical Society , vol.101
    • Glimm, J.1    Lax, P.D.2
  • 16
    • 0016631810 scopus 로고
    • Smooth and time-periodic solutions to the quasilinear wave equation
    • J. M. GREENBERG, Smooth and time-periodic solutions to the quasilinear wave equation, Arch. Rat. Mech. Anal. 60:29-50 (1975).
    • (1975) Arch. Rat. Mech. Anal. , vol.60 , pp. 29-50
    • Greenberg, J.M.1
  • 17
    • 0009305942 scopus 로고
    • Time periodic solutions to systems of conservation laws
    • J. M. GREENBERG and M. RASCLE, Time periodic solutions to systems of conservation laws, Arch. Rat. Mech. Anal. 115:395-407 (1991).
    • (1991) Arch. Rat. Mech. Anal. , vol.115 , pp. 395-407
    • Greenberg, J.M.1    Rascle, M.2
  • 18
    • 0039830700 scopus 로고
    • Some explicit resonating waves in weakly nonlinear gas dynamics
    • R. L. PEGO, Some explicit resonating waves in weakly nonlinear gas dynamics, Stud. Appl. Math. 79:263-270 (1988).
    • (1988) Stud. Appl. Math. , vol.79 , pp. 263-270
    • Pego, R.L.1
  • 21
    • 0038243571 scopus 로고
    • On Whitham's equation
    • S. GABOV, On Whitham's equation, Soviet Math. Dokl. 19:1225-1229 (1978).
    • (1978) Soviet Math. Dokl. , vol.19 , pp. 1225-1229
    • Gabov, S.1
  • 25
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • G. STRANG, On the construction and comparison of difference schemes, SIAM J. Numerical Anal. 5:506-517 (1968).
    • (1968) SIAM J. Numerical Anal. , vol.5 , pp. 506-517
    • Strang, G.1
  • 27
    • 48749145227 scopus 로고
    • Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
    • A. HARTEN and J. M. HYMAN, Self-adjusting grid methods for one-dimensional hyperbolic conservation laws, J. Comput. Phys. 50:235-269 (1983).
    • (1983) J. Comput. Phys. , vol.50 , pp. 235-269
    • Harten, A.1    Hyman, J.M.2
  • 28
    • 34547419627 scopus 로고
    • The piecewise parabolic method (PPM) for gas-dynamical simulations
    • P. COLELLA and P. R. WOODWARD, The piecewise parabolic method (PPM) for gas-dynamical simulations, J. Comput. Phys. 54:174-201 (1984).
    • (1984) J. Comput. Phys. , vol.54 , pp. 174-201
    • Colella, P.1    Woodward, P.R.2
  • 29
    • 0023329384 scopus 로고
    • Uniformly high-order accurate nonoscillatory schemes. I
    • A. HARTEN and S. OSHER, Uniformly high-order accurate nonoscillatory schemes. I, SIAM J. Numerical Anal. 24:279-309 (1987).
    • (1987) SIAM J. Numerical Anal. , vol.24 , pp. 279-309
    • Harten, A.1    Osher, S.2
  • 33
    • 36849102552 scopus 로고
    • Korteweg-de Vries equation and generalizations. IV. The Korteweg-de Vries equation as a Hamiltonian system
    • C. S. GARDNER, Korteweg-de Vries equation and generalizations. IV. The Korteweg-de Vries equation as a Hamiltonian system, J. Math. Phys. 12:1548-1551 (1971).
    • (1971) J. Math. Phys. , vol.12 , pp. 1548-1551
    • Gardner, C.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.