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Volumn 69, Issue 5-6, 2005, Pages 477-491

Towards a rigorous derivation of the fifth order KP equation

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; DYNAMICS; WAVES;

EID: 23144468026     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2005.03.012     Document Type: Conference Paper
Times cited : (12)

References (16)
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    • W. Ben Youssef, and D. Lannes The long wave limit for a general class of 2D quasilinear hyperbolic problems Comm. Partial Differential Equations 27 5-6 2002 979 1020
    • (2002) Comm. Partial Differential Equations , vol.27 , Issue.5-6 , pp. 979-1020
    • Ben Youssef, W.1    Lannes, D.2
  • 2
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    • On the interactions of permanent waves of finite amplitude
    • D.J. Benney, and J.C. Luke On the interactions of permanent waves of finite amplitude J. Math. Phys. 43 1964 309 313
    • (1964) J. Math. Phys. , vol.43 , pp. 309-313
    • Benney, D.J.1    Luke, J.C.2
  • 3
    • 0011913755 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory
    • J.L. Bona, M. Chen, and J.-C. Saut Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory J. Non-linear Sci. 12 4 2002 283 318
    • (2002) J. Non-linear Sci. , vol.12 , Issue.4 , pp. 283-318
    • Bona, J.L.1    Chen, M.2    Saut, J.-C.3
  • 6
    • 23044531142 scopus 로고    scopus 로고
    • KP description of unidirectional long waves. the model case
    • T. Gallay, and G. Schneider KP description of unidirectional long waves. The model case Proc. Roy. Soc. Edinburgh Sect. A 131 4 2001 885 898
    • (2001) Proc. Roy. Soc. Edinburgh Sect. A , vol.131 , Issue.4 , pp. 885-898
    • Gallay, T.1    Schneider, G.2
  • 8
    • 0010599948 scopus 로고
    • L'équation de Kadomtsev-Petviashvili approchant les ondes longues de surface de I'eau én ecoulement trois-dimensionnel
    • North-Holland Amsterdam
    • T. Kano L'équation de Kadomtsev-Petviashvili approchant les ondes longues de surface de I'eau én ecoulement trois-dimensionnel Patterns and Waves 1986 North-Holland Amsterdam pp. 431-444
    • (1986) Patterns and Waves
    • Kano, T.1
  • 10
    • 85030707196 scopus 로고
    • The concentration-compactness principle in the calculus of variations. the locally compact case i
    • P.-L. Lions The concentration-compactness principle in the calculus of variations. The locally compact case I Ann. Inst. H. Poincaré Anal. Non Linéaire 1 2 1984 109 145
    • (1984) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.1 , Issue.2 , pp. 109-145
    • Lions, P.-L.1
  • 11
    • 85030719142 scopus 로고
    • The concentration-compactness principle in the calculus of variations. the locally compact case II
    • P.-L. Lions The concentration-compactness principle in the calculus of variations. The locally compact case II Ann. Inst. H. Poincaré Anal. Non Linéaire 1 4 1984 223 283
    • (1984) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.1 , Issue.4 , pp. 223-283
    • Lions, P.-L.1
  • 12
    • 3142692578 scopus 로고    scopus 로고
    • A rigorous link between KP and a Benney-Luke equation
    • L. Paumond A rigorous link between KP and a Benney-Luke equation Differential Integral Equations 16 9 2003 1039 1064
    • (2003) Differential Integral Equations , vol.16 , Issue.9 , pp. 1039-1064
    • Paumond, L.1
  • 13
    • 0001108712 scopus 로고    scopus 로고
    • Two-dimensional solitary waves for a Benney-Luke equation
    • R.L. Pego, and J.R. Quintero Two-dimensional solitary waves for a Benney-Luke equation Physica D 132 4 1999 476 496
    • (1999) Physica D , vol.132 , Issue.4 , pp. 476-496
    • Pego, R.L.1    Quintero, J.R.2
  • 14
    • 0035873112 scopus 로고    scopus 로고
    • Kawahara dynamics in dispersive media
    • G. Schneider, and C.E. Wayne Kawahara dynamics in dispersive media Physica D 152/153 2001 384 394 Advances in nonlinear mathematics and science
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    • Schneider, G.1    Wayne, C.E.2
  • 15
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    • Well-posedness in Sobolev spaces of the full water wave problem in 2-D
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    • Wu, S.1
  • 16
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    • Well-posedness in Sobolev spaces of the full water wave problem in 3-D
    • S. Wu Well-posedness in Sobolev spaces of the full water wave problem in 3-D J. Am. Math. Soc. 12 2 1999 445 495
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    • Wu, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.