메뉴 건너뛰기




Volumn 164, Issue 2, 2000, Pages 223-239

Strong Instability of Solitary-Wave Solutions of a Generalized Boussinesq Equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012007004     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3765     Document Type: Article
Times cited : (33)

References (15)
  • 3
    • 34250086052 scopus 로고
    • Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
    • Bona J., Sachs R. Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation. Comm. Math. Phys. 118:1988;15-29.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 15-29
    • Bona, J.1    Sachs, R.2
  • 4
    • 0001864672 scopus 로고
    • Théorie des ondes et de remous qui se propagent...
    • Boussinesq J. Théorie des ondes et de remous qui se propagent... J. Math. Pures Appl. (2). 17:1872;55-108.
    • (1872) J. Math. Pures Appl. (2) , vol.17 , pp. 55-108
    • Boussinesq, J.1
  • 6
    • 0001110480 scopus 로고
    • Stability of solitary wave pulses in shape-memory alloys
    • Falk F., Laedke E. W., Spatschek K. H. Stability of solitary wave pulses in shape-memory alloys. Phys. Rev. B. 36:1987;3031-3041.
    • (1987) Phys. Rev. B , vol.36 , pp. 3031-3041
    • Falk, F.1    Laedke, E.W.2    Spatschek, K.H.3
  • 7
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry, I
    • Grillakis M., Shatah J., Strauss W. Stability theory of solitary waves in the presence of symmetry, I. J. Funct. Anal. 74:1987;160-197.
    • (1987) J. Funct. Anal. , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 8
    • 0002554581 scopus 로고
    • The occurrence of collapse for quasi-linear equations of parabolic and hyperbolic types
    • Kalantarov V., Ladyzhenskaya O. The occurrence of collapse for quasi-linear equations of parabolic and hyperbolic types. J. Soviet Math. 10:1978;53-70.
    • (1978) J. Soviet Math. , vol.10 , pp. 53-70
    • Kalantarov, V.1    Ladyzhenskaya, O.2
  • 10
    • 0000013063 scopus 로고
    • Instability of solitary waves for generalized Boussinesq equations
    • Liu Y. Instability of solitary waves for generalized Boussinesq equations. J. Dynamics Differential Equations. 5:1993;537-558.
    • (1993) J. Dynamics Differential Equations , vol.5 , pp. 537-558
    • Liu, Y.1
  • 11
    • 0347489221 scopus 로고
    • Instability and blow-up of solutions to a generalized Boussinesq equation
    • Liu Y. Instability and blow-up of solutions to a generalized Boussinesq equation. SIAM J. Math. Anal. 26:1995;1527-1546.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1527-1546
    • Liu, Y.1
  • 12
    • 0031570608 scopus 로고    scopus 로고
    • Decay and scattering of small solutions of a generalized Boussinesq equation
    • Liu Y. Decay and scattering of small solutions of a generalized Boussinesq equation. J. Funct. Anal. 147:1997;51-68.
    • (1997) J. Funct. Anal. , vol.147 , pp. 51-68
    • Liu, Y.1
  • 13
    • 0012113620 scopus 로고    scopus 로고
    • Existence and blow up of a nonlinear Pochhammer-Chree equation
    • Liu Y. Existence and blow up of a nonlinear Pochhammer-Chree equation. Indiana Univ. Math. J. 45:1996;797-816.
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 797-816
    • Liu, Y.1
  • 14
    • 84963388462 scopus 로고
    • On the blow-up of certain solutions of the "good" Boussinesq equation
    • Sachs R. L. On the blow-up of certain solutions of the "good" Boussinesq equation. Applicable Anal. 36:1990;145-152.
    • (1990) Applicable Anal. , vol.36 , pp. 145-152
    • Sachs, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.