Mathematical problems in the theory of water waves : a workshop on the problems in the theory of nonlinear hydrodynamic waves, May 1519, 1995, Luminy, France

Contributor(s): Dias F | Ghidaglia JM | Saut JCMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 200Publication details: Providence, R.I. : American Mathematical Society, c1996Description: 1 online resource (xxiii, 235 p. : ill.)ISBN: 9780821877913 (online)Subject(s): Water waves | Wavemotion, Theory ofOnline resources: Click here to access online
Contents:
Radiation and modulational instability described by the fifthorder Kortewegde Vries equation ; Numerical simulation of singular solutions of the generalized Kortewegde Vries equation ; Spatially quasiperiodic capillarygravity waves ; On modulations of weakly nonlinear water waves ; Birkhoff normal forms for water waves ; Remarks on the stability of generalized KP solitary waves ; On the asymptotic integrability of a generalized Burgers equation ; Spatial instabilities and chaos in highorder Hamiltonian standing water waves ; Solitary wave interactions for the fifthorder KdV equation ; Forced BenjaminOno equations and related topics ; Nonlinear evolution of water surface waves: the frequency downshift phenomenon ; Solitary waves on the free surface of a rotating cylindrical flow ; On a generalized KadomtsevPetviashvili equation ; A phenomenological description of soliton splitting during run up ; Asymptotic stability of nonlinear bound states in conservative dispersive systems Igor Bakholdin and Andrej Ilichev ; J L Bona V A Dougalis O A Karakashian and W R McKinney ; T J Bridges and F Dias ; T Colin F Dias and JM Ghidaglia ; Walter Craig ; A de Bouard and J C Saut ; Thanasis Fokas and Laihan Luo ; M Glozman and Y Agnon ; B Malomed and JM VandenBroeck ; Yoshimasa Matsuno ; C Skandrani C Kharif and J Poitevin ; S M Sun ; Michael M Tom ; E van Groesen ; M I Weinstein
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Includes bibliographical references.

Radiation and modulational instability described by the fifthorder Kortewegde Vries equation ; Numerical simulation of singular solutions of the generalized Kortewegde Vries equation ; Spatially quasiperiodic capillarygravity waves ; On modulations of weakly nonlinear water waves ; Birkhoff normal forms for water waves ; Remarks on the stability of generalized KP solitary waves ; On the asymptotic integrability of a generalized Burgers equation ; Spatial instabilities and chaos in highorder Hamiltonian standing water waves ; Solitary wave interactions for the fifthorder KdV equation ; Forced BenjaminOno equations and related topics ; Nonlinear evolution of water surface waves: the frequency downshift phenomenon ; Solitary waves on the free surface of a rotating cylindrical flow ; On a generalized KadomtsevPetviashvili equation ; A phenomenological description of soliton splitting during run up ; Asymptotic stability of nonlinear bound states in conservative dispersive systems Igor Bakholdin and Andrej Ilichev ; J L Bona V A Dougalis O A Karakashian and W R McKinney ; T J Bridges and F Dias ; T Colin F Dias and JM Ghidaglia ; Walter Craig ; A de Bouard and J C Saut ; Thanasis Fokas and Laihan Luo ; M Glozman and Y Agnon ; B Malomed and JM VandenBroeck ; Yoshimasa Matsuno ; C Skandrani C Kharif and J Poitevin ; S M Sun ; Michael M Tom ; E van Groesen ; M I Weinstein

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