Mathematical problems in the theory of water waves : [electronic resource] a workshop on the problems in the theory of nonlinear hydrodynamic waves, May 15-19, 1995, Luminy, France / F. Dias, J.-M. Ghidaglia, J.-C. Saut, editors.

Contributor(s): Dias, F. (Frederic), 1962- | Ghidaglia, J.-M. (Jean-Michel) | Saut, J.-C. (Jean-Claude)Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 200.Publication details: Providence, R.I. : American Mathematical Society, c1996Description: 1 online resource (xxiii, 235 p. : ill.)ISBN: 9780821877913 (online)Subject(s): Wave-motion, Theory of -- Congresses | Water waves -- CongressesAdditional physical formats: Mathematical problems in the theory of water waves :DDC classification: 532/.593/0151 LOC classification: QA927 | .M298 1996Online resources: Contents | Contents
Contents:
Radiation and modulational instability described by the fifth-order Korteweg-de Vries equation / Igor Bakholdin and Andrej Ilichev -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02506 Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation / J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02539 Spatially quasi-periodic capillary-gravity waves / T. J. Bridges and F. Dias -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02507 On modulations of weakly nonlinear water waves / T. Colin, F. Dias and J.-M. Ghidaglia -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02508 Birkhoff normal forms for water waves / Walter Craig -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02509 Remarks on the stability of generalized KP solitary waves / A. de Bouard and J. C. Saut -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02510 On the asymptotic integrability of a generalized Burgers equation / Thanasis Fokas and Laihan Luo -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02511 Spatial instabilities and chaos in high-order Hamiltonian standing water waves / M. Glozman and Y. Agnon -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02522 Solitary wave interactions for the fifth-order KdV equation / B. Malomed and J.-M. Vanden-Broeck -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02512 Forced Benjamin-Ono equations and related topics / Yoshimasa Matsuno -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02513 Nonlinear evolution of water surface waves: the frequency down-shift phenomenon / C. Skandrani, C. Kharif and J. Poitevin -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02514 Solitary waves on the free surface of a rotating cylindrical flow / S. M. Sun -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02521 On a generalized Kadomtsev-Petviashvili equation / Michael M. Tom -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02515 A phenomenological description of soliton splitting during run up / E. van Groesen -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02516 Asymptotic stability of nonlinear bound states in conservative dispersive systems / M. I. Weinstein -- http://www.ams.org/conm/200/ http://dx.doi.org/10.1090/conm/200/02517
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Includes bibliographical references.

Radiation and modulational instability described by the fifth-order Korteweg-de Vries equation / Igor Bakholdin and Andrej Ilichev -- Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation / J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney -- Spatially quasi-periodic capillary-gravity waves / T. J. Bridges and F. Dias -- On modulations of weakly nonlinear water waves / T. Colin, F. Dias and J.-M. Ghidaglia -- Birkhoff normal forms for water waves / Walter Craig -- Remarks on the stability of generalized KP solitary waves / A. de Bouard and J. C. Saut -- On the asymptotic integrability of a generalized Burgers equation / Thanasis Fokas and Laihan Luo -- Spatial instabilities and chaos in high-order Hamiltonian standing water waves / M. Glozman and Y. Agnon -- Solitary wave interactions for the fifth-order KdV equation / B. Malomed and J.-M. Vanden-Broeck -- Forced Benjamin-Ono equations and related topics / Yoshimasa Matsuno -- Nonlinear evolution of water surface waves: the frequency down-shift phenomenon / C. Skandrani, C. Kharif and J. Poitevin -- Solitary waves on the free surface of a rotating cylindrical flow / S. M. Sun -- On a generalized Kadomtsev-Petviashvili equation / Michael M. Tom -- A phenomenological description of soliton splitting during run up / E. van Groesen -- Asymptotic stability of nonlinear bound states in conservative dispersive systems / M. I. Weinstein --

http://www.ams.org/conm/200/

http://dx.doi.org/10.1090/conm/200/02506

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http://dx.doi.org/10.1090/conm/200/02539

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http://dx.doi.org/10.1090/conm/200/02507

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http://dx.doi.org/10.1090/conm/200/02508

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http://dx.doi.org/10.1090/conm/200/02509

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http://dx.doi.org/10.1090/conm/200/02510

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http://dx.doi.org/10.1090/conm/200/02511

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http://dx.doi.org/10.1090/conm/200/02522

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http://dx.doi.org/10.1090/conm/200/02512

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http://dx.doi.org/10.1090/conm/200/02513

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http://dx.doi.org/10.1090/conm/200/02514

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http://dx.doi.org/10.1090/conm/200/02521

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http://dx.doi.org/10.1090/conm/200/02515

http://www.ams.org/conm/200/

http://dx.doi.org/10.1090/conm/200/02516

http://www.ams.org/conm/200/

http://dx.doi.org/10.1090/conm/200/02517

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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