eBook ISBN:  9780821877913 
Product Code:  CONM/200.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877913 
Product Code:  CONM/200.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsReal Sociedad Matemática EspañolaVolume: 200; 1996; 235 ppMSC: Primary 76; 35
The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Kortewegde Vries, Boussinesq, BenjaminOno, DaveyStewartson, KadomtsevPetviashvili, etc.), and existence and stability of solitary waves.
Features:
 The latest developments in the theory of water waves.
 Rigorous and formal results.
 Papers from worldrenowned experts in the field.
ReadershipGraduate students and research mathematicians interested in fluid mechanics.

Table of Contents

Articles

Igor Bakholdin and Andrej Il′ichev — Radiation and modulational instability described by the fifthorder Kortewegde Vries equation [ MR 1410496 ]

J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney — Numerical simulation of singular solutions of the generalized Kortewegde Vries equation [ MR 1410497 ]

T. J. Bridges and F. Dias — Spatially quasiperiodic capillarygravity waves [ MR 1410498 ]

T. Colin, F. Dias and J.M. Ghidaglia — On modulations of weakly nonlinear water waves [ MR 1410499 ]

Walter Craig — Birkhoff normal forms for water waves [ MR 1410500 ]

A. de Bouard and J. C. Saut — Remarks on the stability of generalized KP solitary waves [ MR 1410501 ]

Thanasis Fokas and Laihan Luo — On the asymptotic integrability of a generalized Burgers equation [ MR 1410502 ]

M. Glozman and Y. Agnon — Spatial instabilities and chaos in highorder Hamiltonian standing water waves [ MR 1410503 ]

B. Malomed and J.M. VandenBroeck — Solitary wave interactions for the fifthorder KdV equation [ MR 1410504 ]

Yoshimasa Matsuno — Forced BenjaminOno equations and related topics [ MR 1410505 ]

C. Skandrani, C. Kharif and J. Poitevin — Nonlinear evolution of water surface waves: the frequency downshift phenomenon [ MR 1410506 ]

S. M. Sun — Solitary waves on the free surface of a rotating cylindrical flow [ MR 1410507 ]

Michael M. Tom — On a generalized KadomtsevPetviashvili equation [ MR 1410508 ]

E. van Groesen — A phenomenological description of soliton splitting during run up [ MR 1410509 ]

M. I. Weinstein — Asymptotic stability of nonlinear bound states in conservative dispersive systems [ MR 1410510 ]


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The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Kortewegde Vries, Boussinesq, BenjaminOno, DaveyStewartson, KadomtsevPetviashvili, etc.), and existence and stability of solitary waves.
Features:
 The latest developments in the theory of water waves.
 Rigorous and formal results.
 Papers from worldrenowned experts in the field.
Graduate students and research mathematicians interested in fluid mechanics.

Articles

Igor Bakholdin and Andrej Il′ichev — Radiation and modulational instability described by the fifthorder Kortewegde Vries equation [ MR 1410496 ]

J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney — Numerical simulation of singular solutions of the generalized Kortewegde Vries equation [ MR 1410497 ]

T. J. Bridges and F. Dias — Spatially quasiperiodic capillarygravity waves [ MR 1410498 ]

T. Colin, F. Dias and J.M. Ghidaglia — On modulations of weakly nonlinear water waves [ MR 1410499 ]

Walter Craig — Birkhoff normal forms for water waves [ MR 1410500 ]

A. de Bouard and J. C. Saut — Remarks on the stability of generalized KP solitary waves [ MR 1410501 ]

Thanasis Fokas and Laihan Luo — On the asymptotic integrability of a generalized Burgers equation [ MR 1410502 ]

M. Glozman and Y. Agnon — Spatial instabilities and chaos in highorder Hamiltonian standing water waves [ MR 1410503 ]

B. Malomed and J.M. VandenBroeck — Solitary wave interactions for the fifthorder KdV equation [ MR 1410504 ]

Yoshimasa Matsuno — Forced BenjaminOno equations and related topics [ MR 1410505 ]

C. Skandrani, C. Kharif and J. Poitevin — Nonlinear evolution of water surface waves: the frequency downshift phenomenon [ MR 1410506 ]

S. M. Sun — Solitary waves on the free surface of a rotating cylindrical flow [ MR 1410507 ]

Michael M. Tom — On a generalized KadomtsevPetviashvili equation [ MR 1410508 ]

E. van Groesen — A phenomenological description of soliton splitting during run up [ MR 1410509 ]

M. I. Weinstein — Asymptotic stability of nonlinear bound states in conservative dispersive systems [ MR 1410510 ]