Mathematical problems in the theory of water waves: a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France
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...
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| Format: | Conference Proceeding Book |
|---|---|
| Language: | English |
| Published: |
Providence, RI
1996
|
| Series: | Contemporary mathematics
200 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | 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 (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves. Features the latest developments in the theory of water waves, rigorous and formal results, and papers from world-renowned experts in the field. |
| Physical Description: | XXIII, 235 S. graph. Darst. |
| ISBN: | 082180510X |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface xi
An appreciation of T. Brooke Benjamin (1929 1995) xiii
List of participants xvii
List of lectures xxi
Radiation and modulational instability described by the fifth order Korteweg
De Vries equation
Igor Bakholdin and Andrej Il ichev 1
Numerical simulation of singular solutions of the generalized Korteweg
deVries equation
J. L. Bona, V. A. Dougalis, O. A. Karakashian, and W. R.
McKlNNEY 17
Spatially quasi periodic capillary gravity waves
T. J. Bridges and F. Dias 31
On modulations of weakly nonlinear water waves
T. Colin, F. Dias, and J. M. Ghidaglia 47
Birkhoff normal forms for water waves
Walter Craig 57
Remarks on the stability of generalized KP solitary waves
A. DE BOUARD AND J. C. SAUT 75
On the asymptotic integrability of a generalized Burgers equation
A. S. Fokas and L. Luo 85
Spatial instabilities and chaos in high order Hamiltonian standing water
waves
M. Glozman and Y. Agnon 99
Solitary wave interactions for the fifth order KdV equation
B. Malomed and J. M. Vanden Broeck 133
Forced Benjamin Ono equations and related topics
Yoshimasa Matsuno 145
Nonlinear evolution of water surface waves: The frequency down shift phe¬
nomenon
C. Skandrani, C. Kharif, and J. Poitevin 157
ix
x CONTENTS
Solitary waves on the free surface of a rotating cylindrical flow
S. M. Sun 173
On a generalized Kadomtsev Petviashvili equation
Michael M. Tom 193
A phenomenological description of soliton splitting during run up
E. van Groesen 211
Asymptotic stability of nonlinear bound states in conservative dispersive
systems.
M. I. Weinstein 223
|
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| discipline | Physik Mathematik |
| format | Conference Proceeding Book |
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| spelling | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France American Mathematical Society. F. Dias ..., eds. Providence, RI 1996 XXIII, 235 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Contemporary mathematics 200 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 (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves. Features the latest developments in the theory of water waves, rigorous and formal results, and papers from world-renowned experts in the field. Golven (algemeen, natuurkunde) gtt Hydrodynamica gtt Mouvement ondulatoire, Théorie du Mouvement ondulatoire, théorie du - Congrès ram Niet-lineaire golven gtt Vagues - Congrès Vagues - Congrès ram Water waves Congresses Wave-motion, Theory of Congresses Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1995 Marseille gnd-content Hydrodynamik (DE-588)4026302-2 s Nichtlineares mathematisches Modell (DE-588)4127859-8 s DE-604 Dias, Frédéric Sonstige oth Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves 1995 Luminy Sonstige (DE-588)5193135-7 oth Contemporary mathematics 200 (DE-604)BV000003365 200 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007453503&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France Contemporary mathematics Golven (algemeen, natuurkunde) gtt Hydrodynamica gtt Mouvement ondulatoire, Théorie du Mouvement ondulatoire, théorie du - Congrès ram Niet-lineaire golven gtt Vagues - Congrès Vagues - Congrès ram Water waves Congresses Wave-motion, Theory of Congresses Hydrodynamik (DE-588)4026302-2 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd |
| subject_GND | (DE-588)4026302-2 (DE-588)4127859-8 (DE-588)1071861417 |
| title | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France |
| title_auth | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France |
| title_exact_search | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France |
| title_full | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France American Mathematical Society. F. Dias ..., eds. |
| title_fullStr | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France American Mathematical Society. F. Dias ..., eds. |
| title_full_unstemmed | Mathematical problems in the theory of water waves a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France American Mathematical Society. F. Dias ..., eds. |
| title_short | Mathematical problems in the theory of water waves |
| title_sort | mathematical problems in the theory of water waves a workshop on the problems in the theory of nonlinear hydrodynamic waves may 15 19 1995 luminy france |
| title_sub | a Workshop on the Problems in the Theory of Nonlinear Hydrodynamic Waves, May 15 - 19, 1995, Luminy, France |
| topic | Golven (algemeen, natuurkunde) gtt Hydrodynamica gtt Mouvement ondulatoire, Théorie du Mouvement ondulatoire, théorie du - Congrès ram Niet-lineaire golven gtt Vagues - Congrès Vagues - Congrès ram Water waves Congresses Wave-motion, Theory of Congresses Hydrodynamik (DE-588)4026302-2 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd |
| topic_facet | Golven (algemeen, natuurkunde) Hydrodynamica Mouvement ondulatoire, Théorie du Mouvement ondulatoire, théorie du - Congrès Niet-lineaire golven Vagues - Congrès Water waves Congresses Wave-motion, Theory of Congresses Hydrodynamik Nichtlineares mathematisches Modell Konferenzschrift 1995 Marseille |
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